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Finding the Fourth Proportional to 2,023.85, 2,793.26 and 1,931.51

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Solution

The fourth proportional to 2,023.85, 2,793.26 and 1,931.51 is: 2,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.85 : 2,793.26 = 1,931.51 : x
  2. Step 2: Convert to fraction form
    2,023.85/2,793.26 = 1,931.51/x
  3. Step 3: Cross multiply
    2,023.85x = 2,793.26 × 1,931.51
  4. Step 4: Simplify right side
    2,023.85x = 5,395,200.49
  5. Step 5: Solve for x
    x = 5,395,200.49/2,023.85
  6. Step 6: Final answer
    x = 2,665.82

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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.