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Finding the Fourth Proportional to 2,008.74, 2,772.10 and 1,124.53

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Solution

The fourth proportional to 2,008.74, 2,772.10 and 1,124.53 is: 1,551.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.74 : 2,772.10 = 1,124.53 : x
  2. Step 2: Convert to fraction form
    2,008.74/2,772.10 = 1,124.53/x
  3. Step 3: Cross multiply
    2,008.74x = 2,772.10 × 1,124.53
  4. Step 4: Simplify right side
    2,008.74x = 3,117,309.61
  5. Step 5: Solve for x
    x = 3,117,309.61/2,008.74
  6. Step 6: Final answer
    x = 1,551.87

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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.