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Finding the Fourth Proportional to 2,454.93, 3,682.44 and 993.06

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Solution

The fourth proportional to 2,454.93, 3,682.44 and 993.06 is: 1,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.93 : 3,682.44 = 993.06 : x
  2. Step 2: Convert to fraction form
    2,454.93/3,682.44 = 993.06/x
  3. Step 3: Cross multiply
    2,454.93x = 3,682.44 × 993.06
  4. Step 4: Simplify right side
    2,454.93x = 3,656,883.87
  5. Step 5: Solve for x
    x = 3,656,883.87/2,454.93
  6. Step 6: Final answer
    x = 1,489.61

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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.