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Finding the Fourth Proportional to 2,174.74, 3,002.25 and 1,378.87

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Solution

The fourth proportional to 2,174.74, 3,002.25 and 1,378.87 is: 1,903.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.74 : 3,002.25 = 1,378.87 : x
  2. Step 2: Convert to fraction form
    2,174.74/3,002.25 = 1,378.87/x
  3. Step 3: Cross multiply
    2,174.74x = 3,002.25 × 1,378.87
  4. Step 4: Simplify right side
    2,174.74x = 4,139,721.38
  5. Step 5: Solve for x
    x = 4,139,721.38/2,174.74
  6. Step 6: Final answer
    x = 1,903.55

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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.