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Finding the Fourth Proportional to 1,520.92, 2,281.50 and 791.08

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Solution

The fourth proportional to 1,520.92, 2,281.50 and 791.08 is: 1,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.92 : 2,281.50 = 791.08 : x
  2. Step 2: Convert to fraction form
    1,520.92/2,281.50 = 791.08/x
  3. Step 3: Cross multiply
    1,520.92x = 2,281.50 × 791.08
  4. Step 4: Simplify right side
    1,520.92x = 1,804,849.02
  5. Step 5: Solve for x
    x = 1,804,849.02/1,520.92
  6. Step 6: Final answer
    x = 1,186.68

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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.