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Finding the Fourth Proportional to 2,306.31, 3,458.09 and 1,073.99

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Solution

The fourth proportional to 2,306.31, 3,458.09 and 1,073.99 is: 1,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.31 : 3,458.09 = 1,073.99 : x
  2. Step 2: Convert to fraction form
    2,306.31/3,458.09 = 1,073.99/x
  3. Step 3: Cross multiply
    2,306.31x = 3,458.09 × 1,073.99
  4. Step 4: Simplify right side
    2,306.31x = 3,713,948.71
  5. Step 5: Solve for x
    x = 3,713,948.71/2,306.31
  6. Step 6: Final answer
    x = 1,610.35

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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.