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Finding the Fourth Proportional to 4,152.33, 6,230.18 and 1,687.34

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Solution

The fourth proportional to 4,152.33, 6,230.18 and 1,687.34 is: 2,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.33 : 6,230.18 = 1,687.34 : x
  2. Step 2: Convert to fraction form
    4,152.33/6,230.18 = 1,687.34/x
  3. Step 3: Cross multiply
    4,152.33x = 6,230.18 × 1,687.34
  4. Step 4: Simplify right side
    4,152.33x = 10,512,451.72
  5. Step 5: Solve for x
    x = 10,512,451.72/4,152.33
  6. Step 6: Final answer
    x = 2,531.70

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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.