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Finding the Fourth Proportional to 2,474.34, 3,438 and 2,448.66

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Solution

The fourth proportional to 2,474.34, 3,438 and 2,448.66 is: 3,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.34 : 3,438 = 2,448.66 : x
  2. Step 2: Convert to fraction form
    2,474.34/3,438 = 2,448.66/x
  3. Step 3: Cross multiply
    2,474.34x = 3,438 × 2,448.66
  4. Step 4: Simplify right side
    2,474.34x = 8,418,493.08
  5. Step 5: Solve for x
    x = 8,418,493.08/2,474.34
  6. Step 6: Final answer
    x = 3,402.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.