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Finding the Fourth Proportional to 1,920.24, 2,649.49 and 1,133.86

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Solution

The fourth proportional to 1,920.24, 2,649.49 and 1,133.86 is: 1,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.24 : 2,649.49 = 1,133.86 : x
  2. Step 2: Convert to fraction form
    1,920.24/2,649.49 = 1,133.86/x
  3. Step 3: Cross multiply
    1,920.24x = 2,649.49 × 1,133.86
  4. Step 4: Simplify right side
    1,920.24x = 3,004,150.73
  5. Step 5: Solve for x
    x = 3,004,150.73/1,920.24
  6. Step 6: Final answer
    x = 1,564.47

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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.