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Finding the Fourth Proportional to 1,162.32, 1,731.90 and 1,151.16

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Solution

The fourth proportional to 1,162.32, 1,731.90 and 1,151.16 is: 1,715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.32 : 1,731.90 = 1,151.16 : x
  2. Step 2: Convert to fraction form
    1,162.32/1,731.90 = 1,151.16/x
  3. Step 3: Cross multiply
    1,162.32x = 1,731.90 × 1,151.16
  4. Step 4: Simplify right side
    1,162.32x = 1,993,694.00
  5. Step 5: Solve for x
    x = 1,993,694.00/1,162.32
  6. Step 6: Final answer
    x = 1,715.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.