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Finding the Fourth Proportional to 2,453.90, 3,680.84 and 994.08

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Solution

The fourth proportional to 2,453.90, 3,680.84 and 994.08 is: 1,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.90 : 3,680.84 = 994.08 : x
  2. Step 2: Convert to fraction form
    2,453.90/3,680.84 = 994.08/x
  3. Step 3: Cross multiply
    2,453.90x = 3,680.84 × 994.08
  4. Step 4: Simplify right side
    2,453.90x = 3,659,042.71
  5. Step 5: Solve for x
    x = 3,659,042.71/2,453.90
  6. Step 6: Final answer
    x = 1,491.11

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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.