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Finding the Fourth Proportional to 2,454.93, 3,682.35 and 994.05

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Solution

The fourth proportional to 2,454.93, 3,682.35 and 994.05 is: 1,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.93 : 3,682.35 = 994.05 : x
  2. Step 2: Convert to fraction form
    2,454.93/3,682.35 = 994.05/x
  3. Step 3: Cross multiply
    2,454.93x = 3,682.35 × 994.05
  4. Step 4: Simplify right side
    2,454.93x = 3,660,440.02
  5. Step 5: Solve for x
    x = 3,660,440.02/2,454.93
  6. Step 6: Final answer
    x = 1,491.06

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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.