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Finding the Fourth Proportional to 2,722.52, 4,082.14 and 1,846.10

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Solution

The fourth proportional to 2,722.52, 4,082.14 and 1,846.10 is: 2,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.52 : 4,082.14 = 1,846.10 : x
  2. Step 2: Convert to fraction form
    2,722.52/4,082.14 = 1,846.10/x
  3. Step 3: Cross multiply
    2,722.52x = 4,082.14 × 1,846.10
  4. Step 4: Simplify right side
    2,722.52x = 7,536,038.65
  5. Step 5: Solve for x
    x = 7,536,038.65/2,722.52
  6. Step 6: Final answer
    x = 2,768.04

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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.