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Finding the Fourth Proportional to 1,152.91, 1,717.91 and 1,097.12

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Solution

The fourth proportional to 1,152.91, 1,717.91 and 1,097.12 is: 1,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.91 : 1,717.91 = 1,097.12 : x
  2. Step 2: Convert to fraction form
    1,152.91/1,717.91 = 1,097.12/x
  3. Step 3: Cross multiply
    1,152.91x = 1,717.91 × 1,097.12
  4. Step 4: Simplify right side
    1,152.91x = 1,884,753.42
  5. Step 5: Solve for x
    x = 1,884,753.42/1,152.91
  6. Step 6: Final answer
    x = 1,634.78

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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.