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Finding the Fourth Proportional to 2,326.98, 3,491.14 and 1,353.90

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Solution

The fourth proportional to 2,326.98, 3,491.14 and 1,353.90 is: 2,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.98 : 3,491.14 = 1,353.90 : x
  2. Step 2: Convert to fraction form
    2,326.98/3,491.14 = 1,353.90/x
  3. Step 3: Cross multiply
    2,326.98x = 3,491.14 × 1,353.90
  4. Step 4: Simplify right side
    2,326.98x = 4,726,654.45
  5. Step 5: Solve for x
    x = 4,726,654.45/2,326.98
  6. Step 6: Final answer
    x = 2,031.24

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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.