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Finding the Fourth Proportional to 1,432.70, 2,148.56 and 942.52

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Solution

The fourth proportional to 1,432.70, 2,148.56 and 942.52 is: 1,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.70 : 2,148.56 = 942.52 : x
  2. Step 2: Convert to fraction form
    1,432.70/2,148.56 = 942.52/x
  3. Step 3: Cross multiply
    1,432.70x = 2,148.56 × 942.52
  4. Step 4: Simplify right side
    1,432.70x = 2,025,060.77
  5. Step 5: Solve for x
    x = 2,025,060.77/1,432.70
  6. Step 6: Final answer
    x = 1,413.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.