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Finding the Fourth Proportional to 2,820.04, 4,230.20 and 2,446.72

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Solution

The fourth proportional to 2,820.04, 4,230.20 and 2,446.72 is: 3,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.04 : 4,230.20 = 2,446.72 : x
  2. Step 2: Convert to fraction form
    2,820.04/4,230.20 = 2,446.72/x
  3. Step 3: Cross multiply
    2,820.04x = 4,230.20 × 2,446.72
  4. Step 4: Simplify right side
    2,820.04x = 10,350,114.94
  5. Step 5: Solve for x
    x = 10,350,114.94/2,820.04
  6. Step 6: Final answer
    x = 3,670.20

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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.