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Finding the Fourth Proportional to 2,521.54, 3,781.09 and 766.23

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Solution

The fourth proportional to 2,521.54, 3,781.09 and 766.23 is: 1,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.54 : 3,781.09 = 766.23 : x
  2. Step 2: Convert to fraction form
    2,521.54/3,781.09 = 766.23/x
  3. Step 3: Cross multiply
    2,521.54x = 3,781.09 × 766.23
  4. Step 4: Simplify right side
    2,521.54x = 2,897,184.59
  5. Step 5: Solve for x
    x = 2,897,184.59/2,521.54
  6. Step 6: Final answer
    x = 1,148.97

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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.