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Finding the Fourth Proportional to 2,725.30, 4,085.52 and 2,266.84

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Solution

The fourth proportional to 2,725.30, 4,085.52 and 2,266.84 is: 3,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.30 : 4,085.52 = 2,266.84 : x
  2. Step 2: Convert to fraction form
    2,725.30/4,085.52 = 2,266.84/x
  3. Step 3: Cross multiply
    2,725.30x = 4,085.52 × 2,266.84
  4. Step 4: Simplify right side
    2,725.30x = 9,261,220.16
  5. Step 5: Solve for x
    x = 9,261,220.16/2,725.30
  6. Step 6: Final answer
    x = 3,398.24

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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.