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Finding the Fourth Proportional to 2,714.10, 4,065.48 and 2,250.78

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Solution

The fourth proportional to 2,714.10, 4,065.48 and 2,250.78 is: 3,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.10 : 4,065.48 = 2,250.78 : x
  2. Step 2: Convert to fraction form
    2,714.10/4,065.48 = 2,250.78/x
  3. Step 3: Cross multiply
    2,714.10x = 4,065.48 × 2,250.78
  4. Step 4: Simplify right side
    2,714.10x = 9,150,501.07
  5. Step 5: Solve for x
    x = 9,150,501.07/2,714.10
  6. Step 6: Final answer
    x = 3,371.47

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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.