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Finding the Fourth Proportional to 2,569, 3,854.14 and 745

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Solution

The fourth proportional to 2,569, 3,854.14 and 745 is: 1,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569 : 3,854.14 = 745 : x
  2. Step 2: Convert to fraction form
    2,569/3,854.14 = 745/x
  3. Step 3: Cross multiply
    2,569x = 3,854.14 × 745
  4. Step 4: Simplify right side
    2,569x = 2,871,334.30
  5. Step 5: Solve for x
    x = 2,871,334.30/2,569
  6. Step 6: Final answer
    x = 1,117.69

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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.