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Finding the Fourth Proportional to 2,463.69, 3,712.14 and 2,198.42

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Solution

The fourth proportional to 2,463.69, 3,712.14 and 2,198.42 is: 3,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.69 : 3,712.14 = 2,198.42 : x
  2. Step 2: Convert to fraction form
    2,463.69/3,712.14 = 2,198.42/x
  3. Step 3: Cross multiply
    2,463.69x = 3,712.14 × 2,198.42
  4. Step 4: Simplify right side
    2,463.69x = 8,160,842.82
  5. Step 5: Solve for x
    x = 8,160,842.82/2,463.69
  6. Step 6: Final answer
    x = 3,312.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.