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Finding the Fourth Proportional to 2,719.69, 3,752.95 and 1,540.84

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Solution

The fourth proportional to 2,719.69, 3,752.95 and 1,540.84 is: 2,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.69 : 3,752.95 = 1,540.84 : x
  2. Step 2: Convert to fraction form
    2,719.69/3,752.95 = 1,540.84/x
  3. Step 3: Cross multiply
    2,719.69x = 3,752.95 × 1,540.84
  4. Step 4: Simplify right side
    2,719.69x = 5,782,695.48
  5. Step 5: Solve for x
    x = 5,782,695.48/2,719.69
  6. Step 6: Final answer
    x = 2,126.23

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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.