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Finding the Fourth Proportional to 2,332.81, 3,499.34 and 945.94

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Solution

The fourth proportional to 2,332.81, 3,499.34 and 945.94 is: 1,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.81 : 3,499.34 = 945.94 : x
  2. Step 2: Convert to fraction form
    2,332.81/3,499.34 = 945.94/x
  3. Step 3: Cross multiply
    2,332.81x = 3,499.34 × 945.94
  4. Step 4: Simplify right side
    2,332.81x = 3,310,168.04
  5. Step 5: Solve for x
    x = 3,310,168.04/2,332.81
  6. Step 6: Final answer
    x = 1,418.96

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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.