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Finding the Fourth Proportional to 2,326.67, 3,490.52 and 766.61

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Solution

The fourth proportional to 2,326.67, 3,490.52 and 766.61 is: 1,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.67 : 3,490.52 = 766.61 : x
  2. Step 2: Convert to fraction form
    2,326.67/3,490.52 = 766.61/x
  3. Step 3: Cross multiply
    2,326.67x = 3,490.52 × 766.61
  4. Step 4: Simplify right side
    2,326.67x = 2,675,863.70
  5. Step 5: Solve for x
    x = 2,675,863.70/2,326.67
  6. Step 6: Final answer
    x = 1,150.08

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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.