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Finding the Fourth Proportional to 3,342.92, 4,611.22 and 2,461

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Solution

The fourth proportional to 3,342.92, 4,611.22 and 2,461 is: 3,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.92 : 4,611.22 = 2,461 : x
  2. Step 2: Convert to fraction form
    3,342.92/4,611.22 = 2,461/x
  3. Step 3: Cross multiply
    3,342.92x = 4,611.22 × 2,461
  4. Step 4: Simplify right side
    3,342.92x = 11,348,212.42
  5. Step 5: Solve for x
    x = 11,348,212.42/3,342.92
  6. Step 6: Final answer
    x = 3,394.70

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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.