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Finding the Fourth Proportional to 3,149.90, 4,724.86 and 1,416.50

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Solution

The fourth proportional to 3,149.90, 4,724.86 and 1,416.50 is: 2,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.90 : 4,724.86 = 1,416.50 : x
  2. Step 2: Convert to fraction form
    3,149.90/4,724.86 = 1,416.50/x
  3. Step 3: Cross multiply
    3,149.90x = 4,724.86 × 1,416.50
  4. Step 4: Simplify right side
    3,149.90x = 6,692,772.46
  5. Step 5: Solve for x
    x = 6,692,772.46/3,149.90
  6. Step 6: Final answer
    x = 2,124.76

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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.