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Finding the Fourth Proportional to 1,920.24, 2,649.72 and 1,174.38

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Solution

The fourth proportional to 1,920.24, 2,649.72 and 1,174.38 is: 1,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.24 : 2,649.72 = 1,174.38 : x
  2. Step 2: Convert to fraction form
    1,920.24/2,649.72 = 1,174.38/x
  3. Step 3: Cross multiply
    1,920.24x = 2,649.72 × 1,174.38
  4. Step 4: Simplify right side
    1,920.24x = 3,111,778.17
  5. Step 5: Solve for x
    x = 3,111,778.17/1,920.24
  6. Step 6: Final answer
    x = 1,620.52

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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.