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Finding the Fourth Proportional to 3,023.87, 4,535.73 and 832.55

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Solution

The fourth proportional to 3,023.87, 4,535.73 and 832.55 is: 1,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.87 : 4,535.73 = 832.55 : x
  2. Step 2: Convert to fraction form
    3,023.87/4,535.73 = 832.55/x
  3. Step 3: Cross multiply
    3,023.87x = 4,535.73 × 832.55
  4. Step 4: Simplify right side
    3,023.87x = 3,776,199.33
  5. Step 5: Solve for x
    x = 3,776,199.33/3,023.87
  6. Step 6: Final answer
    x = 1,248.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.