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Finding the Fourth Proportional to 1,781.60, 2,673.20 and 807.20

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Solution

The fourth proportional to 1,781.60, 2,673.20 and 807.20 is: 1,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.60 : 2,673.20 = 807.20 : x
  2. Step 2: Convert to fraction form
    1,781.60/2,673.20 = 807.20/x
  3. Step 3: Cross multiply
    1,781.60x = 2,673.20 × 807.20
  4. Step 4: Simplify right side
    1,781.60x = 2,157,807.04
  5. Step 5: Solve for x
    x = 2,157,807.04/1,781.60
  6. Step 6: Final answer
    x = 1,211.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.