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Finding the Fourth Proportional to 2,332.73, 3,499.07 and 945.74

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Solution

The fourth proportional to 2,332.73, 3,499.07 and 945.74 is: 1,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.73 : 3,499.07 = 945.74 : x
  2. Step 2: Convert to fraction form
    2,332.73/3,499.07 = 945.74/x
  3. Step 3: Cross multiply
    2,332.73x = 3,499.07 × 945.74
  4. Step 4: Simplify right side
    2,332.73x = 3,309,191.78
  5. Step 5: Solve for x
    x = 3,309,191.78/2,332.73
  6. Step 6: Final answer
    x = 1,418.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.