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Finding the Fourth Proportional to 2,472.48, 3,712.96 and 2,195.46

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Solution

The fourth proportional to 2,472.48, 3,712.96 and 2,195.46 is: 3,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.48 : 3,712.96 = 2,195.46 : x
  2. Step 2: Convert to fraction form
    2,472.48/3,712.96 = 2,195.46/x
  3. Step 3: Cross multiply
    2,472.48x = 3,712.96 × 2,195.46
  4. Step 4: Simplify right side
    2,472.48x = 8,151,655.16
  5. Step 5: Solve for x
    x = 8,151,655.16/2,472.48
  6. Step 6: Final answer
    x = 3,296.95

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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.