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Finding the Fourth Proportional to 2,853.58, 4,274.40 and 2,295.27

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Solution

The fourth proportional to 2,853.58, 4,274.40 and 2,295.27 is: 3,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.58 : 4,274.40 = 2,295.27 : x
  2. Step 2: Convert to fraction form
    2,853.58/4,274.40 = 2,295.27/x
  3. Step 3: Cross multiply
    2,853.58x = 4,274.40 × 2,295.27
  4. Step 4: Simplify right side
    2,853.58x = 9,810,926.72
  5. Step 5: Solve for x
    x = 9,810,926.72/2,853.58
  6. Step 6: Final answer
    x = 3,438.11

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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.