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Finding the Fourth Proportional to 2,023.26, 3,032.82 and 928.41

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Solution

The fourth proportional to 2,023.26, 3,032.82 and 928.41 is: 1,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.26 : 3,032.82 = 928.41 : x
  2. Step 2: Convert to fraction form
    2,023.26/3,032.82 = 928.41/x
  3. Step 3: Cross multiply
    2,023.26x = 3,032.82 × 928.41
  4. Step 4: Simplify right side
    2,023.26x = 2,815,700.42
  5. Step 5: Solve for x
    x = 2,815,700.42/2,023.26
  6. Step 6: Final answer
    x = 1,391.67

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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.