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Finding the Fourth Proportional to 2,781.66, 3,818.25 and 2,459.88

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Solution

The fourth proportional to 2,781.66, 3,818.25 and 2,459.88 is: 3,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.66 : 3,818.25 = 2,459.88 : x
  2. Step 2: Convert to fraction form
    2,781.66/3,818.25 = 2,459.88/x
  3. Step 3: Cross multiply
    2,781.66x = 3,818.25 × 2,459.88
  4. Step 4: Simplify right side
    2,781.66x = 9,392,436.81
  5. Step 5: Solve for x
    x = 9,392,436.81/2,781.66
  6. Step 6: Final answer
    x = 3,376.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.