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Finding the Fourth Proportional to 1,627.45, 2,440.23 and 1,432.84

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Solution

The fourth proportional to 1,627.45, 2,440.23 and 1,432.84 is: 2,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.45 : 2,440.23 = 1,432.84 : x
  2. Step 2: Convert to fraction form
    1,627.45/2,440.23 = 1,432.84/x
  3. Step 3: Cross multiply
    1,627.45x = 2,440.23 × 1,432.84
  4. Step 4: Simplify right side
    1,627.45x = 3,496,446.80
  5. Step 5: Solve for x
    x = 3,496,446.80/1,627.45
  6. Step 6: Final answer
    x = 2,148.43

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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.