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Finding the Fourth Proportional to 2,774.72, 4,159.38 and 2,255.78

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Solution

The fourth proportional to 2,774.72, 4,159.38 and 2,255.78 is: 3,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.72 : 4,159.38 = 2,255.78 : x
  2. Step 2: Convert to fraction form
    2,774.72/4,159.38 = 2,255.78/x
  3. Step 3: Cross multiply
    2,774.72x = 4,159.38 × 2,255.78
  4. Step 4: Simplify right side
    2,774.72x = 9,382,646.22
  5. Step 5: Solve for x
    x = 9,382,646.22/2,774.72
  6. Step 6: Final answer
    x = 3,381.47

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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.