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Finding the Fourth Proportional to 2,872.25, 4,308.11 and 1,023.29

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Solution

The fourth proportional to 2,872.25, 4,308.11 and 1,023.29 is: 1,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.25 : 4,308.11 = 1,023.29 : x
  2. Step 2: Convert to fraction form
    2,872.25/4,308.11 = 1,023.29/x
  3. Step 3: Cross multiply
    2,872.25x = 4,308.11 × 1,023.29
  4. Step 4: Simplify right side
    2,872.25x = 4,408,440.77
  5. Step 5: Solve for x
    x = 4,408,440.77/2,872.25
  6. Step 6: Final answer
    x = 1,534.84

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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.