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Finding the Fourth Proportional to 2,305.34, 3,458.10 and 1,006.88

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Solution

The fourth proportional to 2,305.34, 3,458.10 and 1,006.88 is: 1,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.34 : 3,458.10 = 1,006.88 : x
  2. Step 2: Convert to fraction form
    2,305.34/3,458.10 = 1,006.88/x
  3. Step 3: Cross multiply
    2,305.34x = 3,458.10 × 1,006.88
  4. Step 4: Simplify right side
    2,305.34x = 3,481,891.73
  5. Step 5: Solve for x
    x = 3,481,891.73/2,305.34
  6. Step 6: Final answer
    x = 1,510.36

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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.