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Finding the Fourth Proportional to 3,617.96, 4,993 and 2,046.20

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Solution

The fourth proportional to 3,617.96, 4,993 and 2,046.20 is: 2,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.96 : 4,993 = 2,046.20 : x
  2. Step 2: Convert to fraction form
    3,617.96/4,993 = 2,046.20/x
  3. Step 3: Cross multiply
    3,617.96x = 4,993 × 2,046.20
  4. Step 4: Simplify right side
    3,617.96x = 10,216,676.60
  5. Step 5: Solve for x
    x = 10,216,676.60/3,617.96
  6. Step 6: Final answer
    x = 2,823.88

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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.