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Finding the Fourth Proportional to 2,332.14, 3,497.11 and 850.31

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Solution

The fourth proportional to 2,332.14, 3,497.11 and 850.31 is: 1,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.14 : 3,497.11 = 850.31 : x
  2. Step 2: Convert to fraction form
    2,332.14/3,497.11 = 850.31/x
  3. Step 3: Cross multiply
    2,332.14x = 3,497.11 × 850.31
  4. Step 4: Simplify right side
    2,332.14x = 2,973,640.78
  5. Step 5: Solve for x
    x = 2,973,640.78/2,332.14
  6. Step 6: Final answer
    x = 1,275.07

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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.