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Finding the Fourth Proportional to 2,473.82, 3,414.48 and 1,479.68

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Solution

The fourth proportional to 2,473.82, 3,414.48 and 1,479.68 is: 2,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.82 : 3,414.48 = 1,479.68 : x
  2. Step 2: Convert to fraction form
    2,473.82/3,414.48 = 1,479.68/x
  3. Step 3: Cross multiply
    2,473.82x = 3,414.48 × 1,479.68
  4. Step 4: Simplify right side
    2,473.82x = 5,052,337.77
  5. Step 5: Solve for x
    x = 5,052,337.77/2,473.82
  6. Step 6: Final answer
    x = 2,042.32

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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.