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Finding the Fourth Proportional to 2,719.52, 3,751.36 and 2,159.42

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Solution

The fourth proportional to 2,719.52, 3,751.36 and 2,159.42 is: 2,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.52 : 3,751.36 = 2,159.42 : x
  2. Step 2: Convert to fraction form
    2,719.52/3,751.36 = 2,159.42/x
  3. Step 3: Cross multiply
    2,719.52x = 3,751.36 × 2,159.42
  4. Step 4: Simplify right side
    2,719.52x = 8,100,761.81
  5. Step 5: Solve for x
    x = 8,100,761.81/2,719.52
  6. Step 6: Final answer
    x = 2,978.75

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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.