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Finding the Fourth Proportional to 1,920.83, 2,650.73 and 1,134.86

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Solution

The fourth proportional to 1,920.83, 2,650.73 and 1,134.86 is: 1,566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.83 : 2,650.73 = 1,134.86 : x
  2. Step 2: Convert to fraction form
    1,920.83/2,650.73 = 1,134.86/x
  3. Step 3: Cross multiply
    1,920.83x = 2,650.73 × 1,134.86
  4. Step 4: Simplify right side
    1,920.83x = 3,008,188.52
  5. Step 5: Solve for x
    x = 3,008,188.52/1,920.83
  6. Step 6: Final answer
    x = 1,566.09

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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.