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Finding the Fourth Proportional to 1,471.12, 2,204.48 and 984.08

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Solution

The fourth proportional to 1,471.12, 2,204.48 and 984.08 is: 1,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.12 : 2,204.48 = 984.08 : x
  2. Step 2: Convert to fraction form
    1,471.12/2,204.48 = 984.08/x
  3. Step 3: Cross multiply
    1,471.12x = 2,204.48 × 984.08
  4. Step 4: Simplify right side
    1,471.12x = 2,169,384.68
  5. Step 5: Solve for x
    x = 2,169,384.68/1,471.12
  6. Step 6: Final answer
    x = 1,474.65

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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.