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Finding the Fourth Proportional to 2,446.70, 3,670.35 and 803.42

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Solution

The fourth proportional to 2,446.70, 3,670.35 and 803.42 is: 1,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.70 : 3,670.35 = 803.42 : x
  2. Step 2: Convert to fraction form
    2,446.70/3,670.35 = 803.42/x
  3. Step 3: Cross multiply
    2,446.70x = 3,670.35 × 803.42
  4. Step 4: Simplify right side
    2,446.70x = 2,948,814.25
  5. Step 5: Solve for x
    x = 2,948,814.25/2,446.70
  6. Step 6: Final answer
    x = 1,205.22

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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.