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Finding the Fourth Proportional to 1,420.76, 2,116.18 and 1,330.76

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Solution

The fourth proportional to 1,420.76, 2,116.18 and 1,330.76 is: 1,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.76 : 2,116.18 = 1,330.76 : x
  2. Step 2: Convert to fraction form
    1,420.76/2,116.18 = 1,330.76/x
  3. Step 3: Cross multiply
    1,420.76x = 2,116.18 × 1,330.76
  4. Step 4: Simplify right side
    1,420.76x = 2,816,127.70
  5. Step 5: Solve for x
    x = 2,816,127.70/1,420.76
  6. Step 6: Final answer
    x = 1,982.13

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.