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Finding the Fourth Proportional to 2,326.14, 3,488.31 and 864.96

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Solution

The fourth proportional to 2,326.14, 3,488.31 and 864.96 is: 1,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.14 : 3,488.31 = 864.96 : x
  2. Step 2: Convert to fraction form
    2,326.14/3,488.31 = 864.96/x
  3. Step 3: Cross multiply
    2,326.14x = 3,488.31 × 864.96
  4. Step 4: Simplify right side
    2,326.14x = 3,017,248.62
  5. Step 5: Solve for x
    x = 3,017,248.62/2,326.14
  6. Step 6: Final answer
    x = 1,297.11

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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.