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Finding the Fourth Proportional to 2,878.99, 3,974.61 and 2,682.16

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Solution

The fourth proportional to 2,878.99, 3,974.61 and 2,682.16 is: 3,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.99 : 3,974.61 = 2,682.16 : x
  2. Step 2: Convert to fraction form
    2,878.99/3,974.61 = 2,682.16/x
  3. Step 3: Cross multiply
    2,878.99x = 3,974.61 × 2,682.16
  4. Step 4: Simplify right side
    2,878.99x = 10,660,539.96
  5. Step 5: Solve for x
    x = 10,660,539.96/2,878.99
  6. Step 6: Final answer
    x = 3,702.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.