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Finding the Fourth Proportional to 1,143.86, 1,704.56 and 1,112.18

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Solution

The fourth proportional to 1,143.86, 1,704.56 and 1,112.18 is: 1,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.86 : 1,704.56 = 1,112.18 : x
  2. Step 2: Convert to fraction form
    1,143.86/1,704.56 = 1,112.18/x
  3. Step 3: Cross multiply
    1,143.86x = 1,704.56 × 1,112.18
  4. Step 4: Simplify right side
    1,143.86x = 1,895,763.46
  5. Step 5: Solve for x
    x = 1,895,763.46/1,143.86
  6. Step 6: Final answer
    x = 1,657.35

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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.