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Finding the Fourth Proportional to 2,326.72, 3,487.38 and 864.94

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Solution

The fourth proportional to 2,326.72, 3,487.38 and 864.94 is: 1,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.72 : 3,487.38 = 864.94 : x
  2. Step 2: Convert to fraction form
    2,326.72/3,487.38 = 864.94/x
  3. Step 3: Cross multiply
    2,326.72x = 3,487.38 × 864.94
  4. Step 4: Simplify right side
    2,326.72x = 3,016,374.46
  5. Step 5: Solve for x
    x = 3,016,374.46/2,326.72
  6. Step 6: Final answer
    x = 1,296.41

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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.