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Finding the Fourth Proportional to 2,432.16, 3,648.36 and 892.80

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Solution

The fourth proportional to 2,432.16, 3,648.36 and 892.80 is: 1,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.16 : 3,648.36 = 892.80 : x
  2. Step 2: Convert to fraction form
    2,432.16/3,648.36 = 892.80/x
  3. Step 3: Cross multiply
    2,432.16x = 3,648.36 × 892.80
  4. Step 4: Simplify right side
    2,432.16x = 3,257,255.81
  5. Step 5: Solve for x
    x = 3,257,255.81/2,432.16
  6. Step 6: Final answer
    x = 1,339.24

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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.