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Finding the Fourth Proportional to 2,329.41, 3,495.51 and 869.61

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Solution

The fourth proportional to 2,329.41, 3,495.51 and 869.61 is: 1,304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.41 : 3,495.51 = 869.61 : x
  2. Step 2: Convert to fraction form
    2,329.41/3,495.51 = 869.61/x
  3. Step 3: Cross multiply
    2,329.41x = 3,495.51 × 869.61
  4. Step 4: Simplify right side
    2,329.41x = 3,039,730.45
  5. Step 5: Solve for x
    x = 3,039,730.45/2,329.41
  6. Step 6: Final answer
    x = 1,304.94

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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.