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Finding the Fourth Proportional to 2,471.85, 3,411.25 and 1,352.89

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Solution

The fourth proportional to 2,471.85, 3,411.25 and 1,352.89 is: 1,867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.85 : 3,411.25 = 1,352.89 : x
  2. Step 2: Convert to fraction form
    2,471.85/3,411.25 = 1,352.89/x
  3. Step 3: Cross multiply
    2,471.85x = 3,411.25 × 1,352.89
  4. Step 4: Simplify right side
    2,471.85x = 4,615,046.01
  5. Step 5: Solve for x
    x = 4,615,046.01/2,471.85
  6. Step 6: Final answer
    x = 1,867.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.