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Finding the Fourth Proportional to 3,149.40, 4,724.10 and 1,416

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Solution

The fourth proportional to 3,149.40, 4,724.10 and 1,416 is: 2,124

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.40 : 4,724.10 = 1,416 : x
  2. Step 2: Convert to fraction form
    3,149.40/4,724.10 = 1,416/x
  3. Step 3: Cross multiply
    3,149.40x = 4,724.10 × 1,416
  4. Step 4: Simplify right side
    3,149.40x = 6,689,325.60
  5. Step 5: Solve for x
    x = 6,689,325.60/3,149.40
  6. Step 6: Final answer
    x = 2,124

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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.