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Finding the Fourth Proportional to 1,731.16, 2,389.06 and 985.10

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Solution

The fourth proportional to 1,731.16, 2,389.06 and 985.10 is: 1,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.16 : 2,389.06 = 985.10 : x
  2. Step 2: Convert to fraction form
    1,731.16/2,389.06 = 985.10/x
  3. Step 3: Cross multiply
    1,731.16x = 2,389.06 × 985.10
  4. Step 4: Simplify right side
    1,731.16x = 2,353,463.01
  5. Step 5: Solve for x
    x = 2,353,463.01/1,731.16
  6. Step 6: Final answer
    x = 1,359.47

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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.