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Finding the Fourth Proportional to 2,275.81, 3,142.17 and 1,678.38

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Solution

The fourth proportional to 2,275.81, 3,142.17 and 1,678.38 is: 2,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.81 : 3,142.17 = 1,678.38 : x
  2. Step 2: Convert to fraction form
    2,275.81/3,142.17 = 1,678.38/x
  3. Step 3: Cross multiply
    2,275.81x = 3,142.17 × 1,678.38
  4. Step 4: Simplify right side
    2,275.81x = 5,273,739.57
  5. Step 5: Solve for x
    x = 5,273,739.57/2,275.81
  6. Step 6: Final answer
    x = 2,317.30

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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.