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Finding the Fourth Proportional to 2,484.64, 3,726.24 and 1,251.19

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Solution

The fourth proportional to 2,484.64, 3,726.24 and 1,251.19 is: 1,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.64 : 3,726.24 = 1,251.19 : x
  2. Step 2: Convert to fraction form
    2,484.64/3,726.24 = 1,251.19/x
  3. Step 3: Cross multiply
    2,484.64x = 3,726.24 × 1,251.19
  4. Step 4: Simplify right side
    2,484.64x = 4,662,234.23
  5. Step 5: Solve for x
    x = 4,662,234.23/2,484.64
  6. Step 6: Final answer
    x = 1,876.42

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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.