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Finding the Fourth Proportional to 2,874.12, 4,309.40 and 1,024.90

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Solution

The fourth proportional to 2,874.12, 4,309.40 and 1,024.90 is: 1,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.12 : 4,309.40 = 1,024.90 : x
  2. Step 2: Convert to fraction form
    2,874.12/4,309.40 = 1,024.90/x
  3. Step 3: Cross multiply
    2,874.12x = 4,309.40 × 1,024.90
  4. Step 4: Simplify right side
    2,874.12x = 4,416,704.06
  5. Step 5: Solve for x
    x = 4,416,704.06/2,874.12
  6. Step 6: Final answer
    x = 1,536.72

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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.