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Finding the Fourth Proportional to 1,920.60, 2,649.78 and 1,174.14

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Solution

The fourth proportional to 1,920.60, 2,649.78 and 1,174.14 is: 1,619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.60 : 2,649.78 = 1,174.14 : x
  2. Step 2: Convert to fraction form
    1,920.60/2,649.78 = 1,174.14/x
  3. Step 3: Cross multiply
    1,920.60x = 2,649.78 × 1,174.14
  4. Step 4: Simplify right side
    1,920.60x = 3,111,212.69
  5. Step 5: Solve for x
    x = 3,111,212.69/1,920.60
  6. Step 6: Final answer
    x = 1,619.92

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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.