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Finding the Fourth Proportional to 1,624.56, 2,437.07 and 791.66

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Solution

The fourth proportional to 1,624.56, 2,437.07 and 791.66 is: 1,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.56 : 2,437.07 = 791.66 : x
  2. Step 2: Convert to fraction form
    1,624.56/2,437.07 = 791.66/x
  3. Step 3: Cross multiply
    1,624.56x = 2,437.07 × 791.66
  4. Step 4: Simplify right side
    1,624.56x = 1,929,332.97
  5. Step 5: Solve for x
    x = 1,929,332.97/1,624.56
  6. Step 6: Final answer
    x = 1,187.61

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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.