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Finding the Fourth Proportional to 1,747.76, 2,411.91 and 961.83

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Solution

The fourth proportional to 1,747.76, 2,411.91 and 961.83 is: 1,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.76 : 2,411.91 = 961.83 : x
  2. Step 2: Convert to fraction form
    1,747.76/2,411.91 = 961.83/x
  3. Step 3: Cross multiply
    1,747.76x = 2,411.91 × 961.83
  4. Step 4: Simplify right side
    1,747.76x = 2,319,847.40
  5. Step 5: Solve for x
    x = 2,319,847.40/1,747.76
  6. Step 6: Final answer
    x = 1,327.33

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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.