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Finding the Fourth Proportional to 3,138.72, 4,708.68 and 1,264.76

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Solution

The fourth proportional to 3,138.72, 4,708.68 and 1,264.76 is: 1,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.72 : 4,708.68 = 1,264.76 : x
  2. Step 2: Convert to fraction form
    3,138.72/4,708.68 = 1,264.76/x
  3. Step 3: Cross multiply
    3,138.72x = 4,708.68 × 1,264.76
  4. Step 4: Simplify right side
    3,138.72x = 5,955,350.12
  5. Step 5: Solve for x
    x = 5,955,350.12/3,138.72
  6. Step 6: Final answer
    x = 1,897.38

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1.5x scale

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.