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Finding the Fourth Proportional to 3,023.44, 4,535.16 and 832.18

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Solution

The fourth proportional to 3,023.44, 4,535.16 and 832.18 is: 1,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.44 : 4,535.16 = 832.18 : x
  2. Step 2: Convert to fraction form
    3,023.44/4,535.16 = 832.18/x
  3. Step 3: Cross multiply
    3,023.44x = 4,535.16 × 832.18
  4. Step 4: Simplify right side
    3,023.44x = 3,774,069.45
  5. Step 5: Solve for x
    x = 3,774,069.45/3,023.44
  6. Step 6: Final answer
    x = 1,248.27

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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.