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Finding the Fourth Proportional to 2,326.62, 3,490.02 and 766.56

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Solution

The fourth proportional to 2,326.62, 3,490.02 and 766.56 is: 1,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.62 : 3,490.02 = 766.56 : x
  2. Step 2: Convert to fraction form
    2,326.62/3,490.02 = 766.56/x
  3. Step 3: Cross multiply
    2,326.62x = 3,490.02 × 766.56
  4. Step 4: Simplify right side
    2,326.62x = 2,675,322.82
  5. Step 5: Solve for x
    x = 2,675,322.82/2,326.62
  6. Step 6: Final answer
    x = 1,149.87

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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.