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Finding the Fourth Proportional to 1,728.31, 2,384.96 and 1,020.18

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Solution

The fourth proportional to 1,728.31, 2,384.96 and 1,020.18 is: 1,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.31 : 2,384.96 = 1,020.18 : x
  2. Step 2: Convert to fraction form
    1,728.31/2,384.96 = 1,020.18/x
  3. Step 3: Cross multiply
    1,728.31x = 2,384.96 × 1,020.18
  4. Step 4: Simplify right side
    1,728.31x = 2,433,088.49
  5. Step 5: Solve for x
    x = 2,433,088.49/1,728.31
  6. Step 6: Final answer
    x = 1,407.78

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