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Finding the Fourth Proportional to 2,332.78, 3,499.98 and 945.68

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Solution

The fourth proportional to 2,332.78, 3,499.98 and 945.68 is: 1,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.78 : 3,499.98 = 945.68 : x
  2. Step 2: Convert to fraction form
    2,332.78/3,499.98 = 945.68/x
  3. Step 3: Cross multiply
    2,332.78x = 3,499.98 × 945.68
  4. Step 4: Simplify right side
    2,332.78x = 3,309,861.09
  5. Step 5: Solve for x
    x = 3,309,861.09/2,332.78
  6. Step 6: Final answer
    x = 1,418.85

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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.