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Finding the Fourth Proportional to 1,397.67, 2,105.97 and 1,159.53

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Solution

The fourth proportional to 1,397.67, 2,105.97 and 1,159.53 is: 1,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.67 : 2,105.97 = 1,159.53 : x
  2. Step 2: Convert to fraction form
    1,397.67/2,105.97 = 1,159.53/x
  3. Step 3: Cross multiply
    1,397.67x = 2,105.97 × 1,159.53
  4. Step 4: Simplify right side
    1,397.67x = 2,441,935.39
  5. Step 5: Solve for x
    x = 2,441,935.39/1,397.67
  6. Step 6: Final answer
    x = 1,747.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.