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Finding the Fourth Proportional to 1,766.71, 2,438.06 and 980.75

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Solution

The fourth proportional to 1,766.71, 2,438.06 and 980.75 is: 1,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.71 : 2,438.06 = 980.75 : x
  2. Step 2: Convert to fraction form
    1,766.71/2,438.06 = 980.75/x
  3. Step 3: Cross multiply
    1,766.71x = 2,438.06 × 980.75
  4. Step 4: Simplify right side
    1,766.71x = 2,391,127.35
  5. Step 5: Solve for x
    x = 2,391,127.35/1,766.71
  6. Step 6: Final answer
    x = 1,353.44

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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.