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Finding the Fourth Proportional to 2,966.85, 4,092.66 and 2,407.95

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Solution

The fourth proportional to 2,966.85, 4,092.66 and 2,407.95 is: 3,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.85 : 4,092.66 = 2,407.95 : x
  2. Step 2: Convert to fraction form
    2,966.85/4,092.66 = 2,407.95/x
  3. Step 3: Cross multiply
    2,966.85x = 4,092.66 × 2,407.95
  4. Step 4: Simplify right side
    2,966.85x = 9,854,920.65
  5. Step 5: Solve for x
    x = 9,854,920.65/2,966.85
  6. Step 6: Final answer
    x = 3,321.68

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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.