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Finding the Fourth Proportional to 3,137.60, 4,706.40 and 2,432.90

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Solution

The fourth proportional to 3,137.60, 4,706.40 and 2,432.90 is: 3,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.60 : 4,706.40 = 2,432.90 : x
  2. Step 2: Convert to fraction form
    3,137.60/4,706.40 = 2,432.90/x
  3. Step 3: Cross multiply
    3,137.60x = 4,706.40 × 2,432.90
  4. Step 4: Simplify right side
    3,137.60x = 11,450,200.56
  5. Step 5: Solve for x
    x = 11,450,200.56/3,137.60
  6. Step 6: Final answer
    x = 3,649.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.