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Finding the Fourth Proportional to 2,329.71, 3,495.24 and 868.88

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Solution

The fourth proportional to 2,329.71, 3,495.24 and 868.88 is: 1,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.71 : 3,495.24 = 868.88 : x
  2. Step 2: Convert to fraction form
    2,329.71/3,495.24 = 868.88/x
  3. Step 3: Cross multiply
    2,329.71x = 3,495.24 × 868.88
  4. Step 4: Simplify right side
    2,329.71x = 3,036,926.66
  5. Step 5: Solve for x
    x = 3,036,926.66/2,329.71
  6. Step 6: Final answer
    x = 1,303.56

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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.