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Finding the Fourth Proportional to 3,259.96, 4,891.31 and 1,410.13

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Solution

The fourth proportional to 3,259.96, 4,891.31 and 1,410.13 is: 2,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.96 : 4,891.31 = 1,410.13 : x
  2. Step 2: Convert to fraction form
    3,259.96/4,891.31 = 1,410.13/x
  3. Step 3: Cross multiply
    3,259.96x = 4,891.31 × 1,410.13
  4. Step 4: Simplify right side
    3,259.96x = 6,897,351.46
  5. Step 5: Solve for x
    x = 6,897,351.46/3,259.96
  6. Step 6: Final answer
    x = 2,115.78

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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.