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Finding the Fourth Proportional to 2,226.52, 3,072.63 and 1,295.02

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Solution

The fourth proportional to 2,226.52, 3,072.63 and 1,295.02 is: 1,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.52 : 3,072.63 = 1,295.02 : x
  2. Step 2: Convert to fraction form
    2,226.52/3,072.63 = 1,295.02/x
  3. Step 3: Cross multiply
    2,226.52x = 3,072.63 × 1,295.02
  4. Step 4: Simplify right side
    2,226.52x = 3,979,117.30
  5. Step 5: Solve for x
    x = 3,979,117.30/2,226.52
  6. Step 6: Final answer
    x = 1,787.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.