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Finding the Fourth Proportional to 2,262.92, 3,395.06 and 1,871.15

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Solution

The fourth proportional to 2,262.92, 3,395.06 and 1,871.15 is: 2,807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.92 : 3,395.06 = 1,871.15 : x
  2. Step 2: Convert to fraction form
    2,262.92/3,395.06 = 1,871.15/x
  3. Step 3: Cross multiply
    2,262.92x = 3,395.06 × 1,871.15
  4. Step 4: Simplify right side
    2,262.92x = 6,352,676.83
  5. Step 5: Solve for x
    x = 6,352,676.83/2,262.92
  6. Step 6: Final answer
    x = 2,807.29

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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.