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Finding the Fourth Proportional to 3,173.78, 4,761.18 and 982.06

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Solution

The fourth proportional to 3,173.78, 4,761.18 and 982.06 is: 1,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.78 : 4,761.18 = 982.06 : x
  2. Step 2: Convert to fraction form
    3,173.78/4,761.18 = 982.06/x
  3. Step 3: Cross multiply
    3,173.78x = 4,761.18 × 982.06
  4. Step 4: Simplify right side
    3,173.78x = 4,675,752.53
  5. Step 5: Solve for x
    x = 4,675,752.53/3,173.78
  6. Step 6: Final answer
    x = 1,473.24

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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.