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Finding the Fourth Proportional to 2,773.41, 3,827.79 and 1,654.42

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Solution

The fourth proportional to 2,773.41, 3,827.79 and 1,654.42 is: 2,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.41 : 3,827.79 = 1,654.42 : x
  2. Step 2: Convert to fraction form
    2,773.41/3,827.79 = 1,654.42/x
  3. Step 3: Cross multiply
    2,773.41x = 3,827.79 × 1,654.42
  4. Step 4: Simplify right side
    2,773.41x = 6,332,772.33
  5. Step 5: Solve for x
    x = 6,332,772.33/2,773.41
  6. Step 6: Final answer
    x = 2,283.39

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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.