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Finding the Fourth Proportional to 2,873.26, 3,968.05 and 2,474.13

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Solution

The fourth proportional to 2,873.26, 3,968.05 and 2,474.13 is: 3,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.26 : 3,968.05 = 2,474.13 : x
  2. Step 2: Convert to fraction form
    2,873.26/3,968.05 = 2,474.13/x
  3. Step 3: Cross multiply
    2,873.26x = 3,968.05 × 2,474.13
  4. Step 4: Simplify right side
    2,873.26x = 9,817,471.55
  5. Step 5: Solve for x
    x = 9,817,471.55/2,873.26
  6. Step 6: Final answer
    x = 3,416.84

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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.