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Finding the Fourth Proportional to 2,332.75, 3,499.40 and 772.96

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Solution

The fourth proportional to 2,332.75, 3,499.40 and 772.96 is: 1,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.75 : 3,499.40 = 772.96 : x
  2. Step 2: Convert to fraction form
    2,332.75/3,499.40 = 772.96/x
  3. Step 3: Cross multiply
    2,332.75x = 3,499.40 × 772.96
  4. Step 4: Simplify right side
    2,332.75x = 2,704,896.22
  5. Step 5: Solve for x
    x = 2,704,896.22/2,332.75
  6. Step 6: Final answer
    x = 1,159.53

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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.