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Finding the Fourth Proportional to 1,770.39, 2,443.11 and 984.45

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Solution

The fourth proportional to 1,770.39, 2,443.11 and 984.45 is: 1,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.39 : 2,443.11 = 984.45 : x
  2. Step 2: Convert to fraction form
    1,770.39/2,443.11 = 984.45/x
  3. Step 3: Cross multiply
    1,770.39x = 2,443.11 × 984.45
  4. Step 4: Simplify right side
    1,770.39x = 2,405,119.64
  5. Step 5: Solve for x
    x = 2,405,119.64/1,770.39
  6. Step 6: Final answer
    x = 1,358.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.