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Finding the Fourth Proportional to 1,621.53, 2,432.49 and 755.64

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Solution

The fourth proportional to 1,621.53, 2,432.49 and 755.64 is: 1,133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.53 : 2,432.49 = 755.64 : x
  2. Step 2: Convert to fraction form
    1,621.53/2,432.49 = 755.64/x
  3. Step 3: Cross multiply
    1,621.53x = 2,432.49 × 755.64
  4. Step 4: Simplify right side
    1,621.53x = 1,838,086.74
  5. Step 5: Solve for x
    x = 1,838,086.74/1,621.53
  6. Step 6: Final answer
    x = 1,133.55

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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.