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Finding the Fourth Proportional to 2,774.01, 4,160.85 and 1,678.08

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Solution

The fourth proportional to 2,774.01, 4,160.85 and 1,678.08 is: 2,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.01 : 4,160.85 = 1,678.08 : x
  2. Step 2: Convert to fraction form
    2,774.01/4,160.85 = 1,678.08/x
  3. Step 3: Cross multiply
    2,774.01x = 4,160.85 × 1,678.08
  4. Step 4: Simplify right side
    2,774.01x = 6,982,257.92
  5. Step 5: Solve for x
    x = 6,982,257.92/2,774.01
  6. Step 6: Final answer
    x = 2,517.02

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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.