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Finding the Fourth Proportional to 3,112.68, 4,669.02 and 804

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Solution

The fourth proportional to 3,112.68, 4,669.02 and 804 is: 1,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.68 : 4,669.02 = 804 : x
  2. Step 2: Convert to fraction form
    3,112.68/4,669.02 = 804/x
  3. Step 3: Cross multiply
    3,112.68x = 4,669.02 × 804
  4. Step 4: Simplify right side
    3,112.68x = 3,753,892.08
  5. Step 5: Solve for x
    x = 3,753,892.08/3,112.68
  6. Step 6: Final answer
    x = 1,206.00

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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.