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Finding the Fourth Proportional to 2,326.34, 3,486.48 and 2,016.92

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Solution

The fourth proportional to 2,326.34, 3,486.48 and 2,016.92 is: 3,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.34 : 3,486.48 = 2,016.92 : x
  2. Step 2: Convert to fraction form
    2,326.34/3,486.48 = 2,016.92/x
  3. Step 3: Cross multiply
    2,326.34x = 3,486.48 × 2,016.92
  4. Step 4: Simplify right side
    2,326.34x = 7,031,951.24
  5. Step 5: Solve for x
    x = 7,031,951.24/2,326.34
  6. Step 6: Final answer
    x = 3,022.75

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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.