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Finding the Fourth Proportional to 3,291.24, 4,937.84 and 982.76

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Solution

The fourth proportional to 3,291.24, 4,937.84 and 982.76 is: 1,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.24 : 4,937.84 = 982.76 : x
  2. Step 2: Convert to fraction form
    3,291.24/4,937.84 = 982.76/x
  3. Step 3: Cross multiply
    3,291.24x = 4,937.84 × 982.76
  4. Step 4: Simplify right side
    3,291.24x = 4,852,711.64
  5. Step 5: Solve for x
    x = 4,852,711.64/3,291.24
  6. Step 6: Final answer
    x = 1,474.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.