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Finding the Fourth Proportional to 1,770.44, 2,442.96 and 984.65

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Solution

The fourth proportional to 1,770.44, 2,442.96 and 984.65 is: 1,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.44 : 2,442.96 = 984.65 : x
  2. Step 2: Convert to fraction form
    1,770.44/2,442.96 = 984.65/x
  3. Step 3: Cross multiply
    1,770.44x = 2,442.96 × 984.65
  4. Step 4: Simplify right side
    1,770.44x = 2,405,448.35
  5. Step 5: Solve for x
    x = 2,405,448.35/1,770.44
  6. Step 6: Final answer
    x = 1,358.68

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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.