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Finding the Fourth Proportional to 2,329.64, 3,493.56 and 868.46

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Solution

The fourth proportional to 2,329.64, 3,493.56 and 868.46 is: 1,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.64 : 3,493.56 = 868.46 : x
  2. Step 2: Convert to fraction form
    2,329.64/3,493.56 = 868.46/x
  3. Step 3: Cross multiply
    2,329.64x = 3,493.56 × 868.46
  4. Step 4: Simplify right side
    2,329.64x = 3,034,017.12
  5. Step 5: Solve for x
    x = 3,034,017.12/2,329.64
  6. Step 6: Final answer
    x = 1,302.35

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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.