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Finding the Fourth Proportional to 2,719.38, 3,752.81 and 1,477.38

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Solution

The fourth proportional to 2,719.38, 3,752.81 and 1,477.38 is: 2,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.38 : 3,752.81 = 1,477.38 : x
  2. Step 2: Convert to fraction form
    2,719.38/3,752.81 = 1,477.38/x
  3. Step 3: Cross multiply
    2,719.38x = 3,752.81 × 1,477.38
  4. Step 4: Simplify right side
    2,719.38x = 5,544,326.44
  5. Step 5: Solve for x
    x = 5,544,326.44/2,719.38
  6. Step 6: Final answer
    x = 2,038.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.