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Finding the Fourth Proportional to 2,332.81, 3,496.74 and 871.33

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Solution

The fourth proportional to 2,332.81, 3,496.74 and 871.33 is: 1,306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.81 : 3,496.74 = 871.33 : x
  2. Step 2: Convert to fraction form
    2,332.81/3,496.74 = 871.33/x
  3. Step 3: Cross multiply
    2,332.81x = 3,496.74 × 871.33
  4. Step 4: Simplify right side
    2,332.81x = 3,046,810.11
  5. Step 5: Solve for x
    x = 3,046,810.11/2,332.81
  6. Step 6: Final answer
    x = 1,306.07

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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.