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Finding the Fourth Proportional to 2,446.64, 3,670.53 and 803.18

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Solution

The fourth proportional to 2,446.64, 3,670.53 and 803.18 is: 1,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.64 : 3,670.53 = 803.18 : x
  2. Step 2: Convert to fraction form
    2,446.64/3,670.53 = 803.18/x
  3. Step 3: Cross multiply
    2,446.64x = 3,670.53 × 803.18
  4. Step 4: Simplify right side
    2,446.64x = 2,948,096.29
  5. Step 5: Solve for x
    x = 2,948,096.29/2,446.64
  6. Step 6: Final answer
    x = 1,204.96

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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.