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Finding the Fourth Proportional to 2,446.76, 3,670.17 and 803.43

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Solution

The fourth proportional to 2,446.76, 3,670.17 and 803.43 is: 1,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.76 : 3,670.17 = 803.43 : x
  2. Step 2: Convert to fraction form
    2,446.76/3,670.17 = 803.43/x
  3. Step 3: Cross multiply
    2,446.76x = 3,670.17 × 803.43
  4. Step 4: Simplify right side
    2,446.76x = 2,948,724.68
  5. Step 5: Solve for x
    x = 2,948,724.68/2,446.76
  6. Step 6: Final answer
    x = 1,205.16

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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.