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Finding the Fourth Proportional to 2,719.66, 3,753.12 and 1,600.59

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Solution

The fourth proportional to 2,719.66, 3,753.12 and 1,600.59 is: 2,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.66 : 3,753.12 = 1,600.59 : x
  2. Step 2: Convert to fraction form
    2,719.66/3,753.12 = 1,600.59/x
  3. Step 3: Cross multiply
    2,719.66x = 3,753.12 × 1,600.59
  4. Step 4: Simplify right side
    2,719.66x = 6,007,206.34
  5. Step 5: Solve for x
    x = 6,007,206.34/2,719.66
  6. Step 6: Final answer
    x = 2,208.81

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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.