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Finding the Fourth Proportional to 1,432.02, 2,147.46 and 912.36

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Solution

The fourth proportional to 1,432.02, 2,147.46 and 912.36 is: 1,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.02 : 2,147.46 = 912.36 : x
  2. Step 2: Convert to fraction form
    1,432.02/2,147.46 = 912.36/x
  3. Step 3: Cross multiply
    1,432.02x = 2,147.46 × 912.36
  4. Step 4: Simplify right side
    1,432.02x = 1,959,256.61
  5. Step 5: Solve for x
    x = 1,959,256.61/1,432.02
  6. Step 6: Final answer
    x = 1,368.18

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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.