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Finding the Fourth Proportional to 3,400.96, 4,689.96 and 2,654.64

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Solution

The fourth proportional to 3,400.96, 4,689.96 and 2,654.64 is: 3,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.96 : 4,689.96 = 2,654.64 : x
  2. Step 2: Convert to fraction form
    3,400.96/4,689.96 = 2,654.64/x
  3. Step 3: Cross multiply
    3,400.96x = 4,689.96 × 2,654.64
  4. Step 4: Simplify right side
    3,400.96x = 12,450,155.41
  5. Step 5: Solve for x
    x = 12,450,155.41/3,400.96
  6. Step 6: Final answer
    x = 3,660.78

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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.