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Finding the Fourth Proportional to 2,454.12, 3,681.76 and 994.28

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Solution

The fourth proportional to 2,454.12, 3,681.76 and 994.28 is: 1,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.12 : 3,681.76 = 994.28 : x
  2. Step 2: Convert to fraction form
    2,454.12/3,681.76 = 994.28/x
  3. Step 3: Cross multiply
    2,454.12x = 3,681.76 × 994.28
  4. Step 4: Simplify right side
    2,454.12x = 3,660,700.33
  5. Step 5: Solve for x
    x = 3,660,700.33/2,454.12
  6. Step 6: Final answer
    x = 1,491.65

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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.