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Finding the Fourth Proportional to 2,719.68, 3,752.49 and 1,600.53

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Solution

The fourth proportional to 2,719.68, 3,752.49 and 1,600.53 is: 2,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.68 : 3,752.49 = 1,600.53 : x
  2. Step 2: Convert to fraction form
    2,719.68/3,752.49 = 1,600.53/x
  3. Step 3: Cross multiply
    2,719.68x = 3,752.49 × 1,600.53
  4. Step 4: Simplify right side
    2,719.68x = 6,005,972.82
  5. Step 5: Solve for x
    x = 6,005,972.82/2,719.68
  6. Step 6: Final answer
    x = 2,208.34

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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.