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Finding the Fourth Proportional to 2,820.02, 4,230.44 and 872.38

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Solution

The fourth proportional to 2,820.02, 4,230.44 and 872.38 is: 1,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.02 : 4,230.44 = 872.38 : x
  2. Step 2: Convert to fraction form
    2,820.02/4,230.44 = 872.38/x
  3. Step 3: Cross multiply
    2,820.02x = 4,230.44 × 872.38
  4. Step 4: Simplify right side
    2,820.02x = 3,690,551.25
  5. Step 5: Solve for x
    x = 3,690,551.25/2,820.02
  6. Step 6: Final answer
    x = 1,308.70

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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.