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Finding the Fourth Proportional to 2,472.59, 3,412.13 and 1,353.58

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Solution

The fourth proportional to 2,472.59, 3,412.13 and 1,353.58 is: 1,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.59 : 3,412.13 = 1,353.58 : x
  2. Step 2: Convert to fraction form
    2,472.59/3,412.13 = 1,353.58/x
  3. Step 3: Cross multiply
    2,472.59x = 3,412.13 × 1,353.58
  4. Step 4: Simplify right side
    2,472.59x = 4,618,575.63
  5. Step 5: Solve for x
    x = 4,618,575.63/2,472.59
  6. Step 6: Final answer
    x = 1,867.91

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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.