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Finding the Fourth Proportional to 1,471.68, 2,204.12 and 853.84

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Solution

The fourth proportional to 1,471.68, 2,204.12 and 853.84 is: 1,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.68 : 2,204.12 = 853.84 : x
  2. Step 2: Convert to fraction form
    1,471.68/2,204.12 = 853.84/x
  3. Step 3: Cross multiply
    1,471.68x = 2,204.12 × 853.84
  4. Step 4: Simplify right side
    1,471.68x = 1,881,965.82
  5. Step 5: Solve for x
    x = 1,881,965.82/1,471.68
  6. Step 6: Final answer
    x = 1,278.79

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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.