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Finding the Fourth Proportional to 1,706.95, 2,353.47 and 1,116.46

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Solution

The fourth proportional to 1,706.95, 2,353.47 and 1,116.46 is: 1,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.95 : 2,353.47 = 1,116.46 : x
  2. Step 2: Convert to fraction form
    1,706.95/2,353.47 = 1,116.46/x
  3. Step 3: Cross multiply
    1,706.95x = 2,353.47 × 1,116.46
  4. Step 4: Simplify right side
    1,706.95x = 2,627,543.35
  5. Step 5: Solve for x
    x = 2,627,543.35/1,706.95
  6. Step 6: Final answer
    x = 1,539.33

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.