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Finding the Fourth Proportional to 2,872.91, 4,298.33 and 2,093.15

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Solution

The fourth proportional to 2,872.91, 4,298.33 and 2,093.15 is: 3,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.91 : 4,298.33 = 2,093.15 : x
  2. Step 2: Convert to fraction form
    2,872.91/4,298.33 = 2,093.15/x
  3. Step 3: Cross multiply
    2,872.91x = 4,298.33 × 2,093.15
  4. Step 4: Simplify right side
    2,872.91x = 8,997,065.42
  5. Step 5: Solve for x
    x = 8,997,065.42/2,872.91
  6. Step 6: Final answer
    x = 3,131.69

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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.