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Finding the Fourth Proportional to 2,878.24, 4,314.48 and 2,452

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Solution

The fourth proportional to 2,878.24, 4,314.48 and 2,452 is: 3,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.24 : 4,314.48 = 2,452 : x
  2. Step 2: Convert to fraction form
    2,878.24/4,314.48 = 2,452/x
  3. Step 3: Cross multiply
    2,878.24x = 4,314.48 × 2,452
  4. Step 4: Simplify right side
    2,878.24x = 10,579,104.96
  5. Step 5: Solve for x
    x = 10,579,104.96/2,878.24
  6. Step 6: Final answer
    x = 3,675.55

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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.