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Finding the Fourth Proportional to 2,484.72, 3,726.84 and 841.24

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Solution

The fourth proportional to 2,484.72, 3,726.84 and 841.24 is: 1,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.72 : 3,726.84 = 841.24 : x
  2. Step 2: Convert to fraction form
    2,484.72/3,726.84 = 841.24/x
  3. Step 3: Cross multiply
    2,484.72x = 3,726.84 × 841.24
  4. Step 4: Simplify right side
    2,484.72x = 3,135,166.88
  5. Step 5: Solve for x
    x = 3,135,166.88/2,484.72
  6. Step 6: Final answer
    x = 1,261.78

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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.