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Finding the Fourth Proportional to 3,142.60, 4,712.50 and 950.80

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Solution

The fourth proportional to 3,142.60, 4,712.50 and 950.80 is: 1,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.60 : 4,712.50 = 950.80 : x
  2. Step 2: Convert to fraction form
    3,142.60/4,712.50 = 950.80/x
  3. Step 3: Cross multiply
    3,142.60x = 4,712.50 × 950.80
  4. Step 4: Simplify right side
    3,142.60x = 4,480,645
  5. Step 5: Solve for x
    x = 4,480,645/3,142.60
  6. Step 6: Final answer
    x = 1,425.78

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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.