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Finding the Fourth Proportional to 2,446.49, 3,670.19 and 803.13

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Solution

The fourth proportional to 2,446.49, 3,670.19 and 803.13 is: 1,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.49 : 3,670.19 = 803.13 : x
  2. Step 2: Convert to fraction form
    2,446.49/3,670.19 = 803.13/x
  3. Step 3: Cross multiply
    2,446.49x = 3,670.19 × 803.13
  4. Step 4: Simplify right side
    2,446.49x = 2,947,639.69
  5. Step 5: Solve for x
    x = 2,947,639.69/2,446.49
  6. Step 6: Final answer
    x = 1,204.84

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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.