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Finding the Fourth Proportional to 1,728.16, 2,593.17 and 1,604.20

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Solution

The fourth proportional to 1,728.16, 2,593.17 and 1,604.20 is: 2,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.16 : 2,593.17 = 1,604.20 : x
  2. Step 2: Convert to fraction form
    1,728.16/2,593.17 = 1,604.20/x
  3. Step 3: Cross multiply
    1,728.16x = 2,593.17 × 1,604.20
  4. Step 4: Simplify right side
    1,728.16x = 4,159,963.31
  5. Step 5: Solve for x
    x = 4,159,963.31/1,728.16
  6. Step 6: Final answer
    x = 2,407.16

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