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Finding the Fourth Proportional to 2,774.18, 4,167.34 and 2,048.42

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Solution

The fourth proportional to 2,774.18, 4,167.34 and 2,048.42 is: 3,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.18 : 4,167.34 = 2,048.42 : x
  2. Step 2: Convert to fraction form
    2,774.18/4,167.34 = 2,048.42/x
  3. Step 3: Cross multiply
    2,774.18x = 4,167.34 × 2,048.42
  4. Step 4: Simplify right side
    2,774.18x = 8,536,436.65
  5. Step 5: Solve for x
    x = 8,536,436.65/2,774.18
  6. Step 6: Final answer
    x = 3,077.11

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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.