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Finding the Fourth Proportional to 1,731.92, 2,389.28 and 1,172.18

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Solution

The fourth proportional to 1,731.92, 2,389.28 and 1,172.18 is: 1,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.92 : 2,389.28 = 1,172.18 : x
  2. Step 2: Convert to fraction form
    1,731.92/2,389.28 = 1,172.18/x
  3. Step 3: Cross multiply
    1,731.92x = 2,389.28 × 1,172.18
  4. Step 4: Simplify right side
    1,731.92x = 2,800,666.34
  5. Step 5: Solve for x
    x = 2,800,666.34/1,731.92
  6. Step 6: Final answer
    x = 1,617.09

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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.