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Finding the Fourth Proportional to 3,124.95, 4,685.68 and 2,138.87

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Solution

The fourth proportional to 3,124.95, 4,685.68 and 2,138.87 is: 3,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.95 : 4,685.68 = 2,138.87 : x
  2. Step 2: Convert to fraction form
    3,124.95/4,685.68 = 2,138.87/x
  3. Step 3: Cross multiply
    3,124.95x = 4,685.68 × 2,138.87
  4. Step 4: Simplify right side
    3,124.95x = 10,022,074.77
  5. Step 5: Solve for x
    x = 10,022,074.77/3,124.95
  6. Step 6: Final answer
    x = 3,207.12

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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.