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Finding the Fourth Proportional to 2,329.59, 3,496.21 and 868.83

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Solution

The fourth proportional to 2,329.59, 3,496.21 and 868.83 is: 1,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.59 : 3,496.21 = 868.83 : x
  2. Step 2: Convert to fraction form
    2,329.59/3,496.21 = 868.83/x
  3. Step 3: Cross multiply
    2,329.59x = 3,496.21 × 868.83
  4. Step 4: Simplify right side
    2,329.59x = 3,037,612.13
  5. Step 5: Solve for x
    x = 3,037,612.13/2,329.59
  6. Step 6: Final answer
    x = 1,303.93

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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.