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Finding the Fourth Proportional to 2,023.20, 2,792.02 and 1,139

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Solution

The fourth proportional to 2,023.20, 2,792.02 and 1,139 is: 1,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.20 : 2,792.02 = 1,139 : x
  2. Step 2: Convert to fraction form
    2,023.20/2,792.02 = 1,139/x
  3. Step 3: Cross multiply
    2,023.20x = 2,792.02 × 1,139
  4. Step 4: Simplify right side
    2,023.20x = 3,180,110.78
  5. Step 5: Solve for x
    x = 3,180,110.78/2,023.20
  6. Step 6: Final answer
    x = 1,571.82

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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.