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Finding the Fourth Proportional to 1,432.80, 1,976 and 1,137.56

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Solution

The fourth proportional to 1,432.80, 1,976 and 1,137.56 is: 1,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.80 : 1,976 = 1,137.56 : x
  2. Step 2: Convert to fraction form
    1,432.80/1,976 = 1,137.56/x
  3. Step 3: Cross multiply
    1,432.80x = 1,976 × 1,137.56
  4. Step 4: Simplify right side
    1,432.80x = 2,247,818.56
  5. Step 5: Solve for x
    x = 2,247,818.56/1,432.80
  6. Step 6: Final answer
    x = 1,568.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.