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Finding the Fourth Proportional to 2,719.70, 3,753.17 and 1,477.70

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Solution

The fourth proportional to 2,719.70, 3,753.17 and 1,477.70 is: 2,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.70 : 3,753.17 = 1,477.70 : x
  2. Step 2: Convert to fraction form
    2,719.70/3,753.17 = 1,477.70/x
  3. Step 3: Cross multiply
    2,719.70x = 3,753.17 × 1,477.70
  4. Step 4: Simplify right side
    2,719.70x = 5,546,033.15
  5. Step 5: Solve for x
    x = 5,546,033.15/2,719.70
  6. Step 6: Final answer
    x = 2,039.21

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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.