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Finding the Fourth Proportional to 2,737.67, 4,106.60 and 982.13

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Solution

The fourth proportional to 2,737.67, 4,106.60 and 982.13 is: 1,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.67 : 4,106.60 = 982.13 : x
  2. Step 2: Convert to fraction form
    2,737.67/4,106.60 = 982.13/x
  3. Step 3: Cross multiply
    2,737.67x = 4,106.60 × 982.13
  4. Step 4: Simplify right side
    2,737.67x = 4,033,215.06
  5. Step 5: Solve for x
    x = 4,033,215.06/2,737.67
  6. Step 6: Final answer
    x = 1,473.23

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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.