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Finding the Fourth Proportional to 2,872.95, 4,309.85 and 1,412.20

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Solution

The fourth proportional to 2,872.95, 4,309.85 and 1,412.20 is: 2,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.95 : 4,309.85 = 1,412.20 : x
  2. Step 2: Convert to fraction form
    2,872.95/4,309.85 = 1,412.20/x
  3. Step 3: Cross multiply
    2,872.95x = 4,309.85 × 1,412.20
  4. Step 4: Simplify right side
    2,872.95x = 6,086,370.17
  5. Step 5: Solve for x
    x = 6,086,370.17/2,872.95
  6. Step 6: Final answer
    x = 2,118.51

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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.