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Finding the Fourth Proportional to 2,498.91, 3,463.08 and 2,463.68

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Solution

The fourth proportional to 2,498.91, 3,463.08 and 2,463.68 is: 3,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.91 : 3,463.08 = 2,463.68 : x
  2. Step 2: Convert to fraction form
    2,498.91/3,463.08 = 2,463.68/x
  3. Step 3: Cross multiply
    2,498.91x = 3,463.08 × 2,463.68
  4. Step 4: Simplify right side
    2,498.91x = 8,531,897.46
  5. Step 5: Solve for x
    x = 8,531,897.46/2,498.91
  6. Step 6: Final answer
    x = 3,414.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.