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Finding the Fourth Proportional to 2,853.98, 4,275.02 and 2,295.68

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Solution

The fourth proportional to 2,853.98, 4,275.02 and 2,295.68 is: 3,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.98 : 4,275.02 = 2,295.68 : x
  2. Step 2: Convert to fraction form
    2,853.98/4,275.02 = 2,295.68/x
  3. Step 3: Cross multiply
    2,853.98x = 4,275.02 × 2,295.68
  4. Step 4: Simplify right side
    2,853.98x = 9,814,078.31
  5. Step 5: Solve for x
    x = 9,814,078.31/2,853.98
  6. Step 6: Final answer
    x = 3,438.73

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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.