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Finding the Fourth Proportional to 1,151.43, 1,597.13 and 1,112.10

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Solution

The fourth proportional to 1,151.43, 1,597.13 and 1,112.10 is: 1,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.43 : 1,597.13 = 1,112.10 : x
  2. Step 2: Convert to fraction form
    1,151.43/1,597.13 = 1,112.10/x
  3. Step 3: Cross multiply
    1,151.43x = 1,597.13 × 1,112.10
  4. Step 4: Simplify right side
    1,151.43x = 1,776,162.71
  5. Step 5: Solve for x
    x = 1,776,162.71/1,151.43
  6. Step 6: Final answer
    x = 1,542.57

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.