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Finding the Fourth Proportional to 2,446.23, 3,669.35 and 886.44

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Solution

The fourth proportional to 2,446.23, 3,669.35 and 886.44 is: 1,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.23 : 3,669.35 = 886.44 : x
  2. Step 2: Convert to fraction form
    2,446.23/3,669.35 = 886.44/x
  3. Step 3: Cross multiply
    2,446.23x = 3,669.35 × 886.44
  4. Step 4: Simplify right side
    2,446.23x = 3,252,654.18
  5. Step 5: Solve for x
    x = 3,252,654.18/2,446.23
  6. Step 6: Final answer
    x = 1,329.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.