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Finding the Fourth Proportional to 2,295.76, 3,427 and 2,124.44

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Solution

The fourth proportional to 2,295.76, 3,427 and 2,124.44 is: 3,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.76 : 3,427 = 2,124.44 : x
  2. Step 2: Convert to fraction form
    2,295.76/3,427 = 2,124.44/x
  3. Step 3: Cross multiply
    2,295.76x = 3,427 × 2,124.44
  4. Step 4: Simplify right side
    2,295.76x = 7,280,455.88
  5. Step 5: Solve for x
    x = 7,280,455.88/2,295.76
  6. Step 6: Final answer
    x = 3,171.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.