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Finding the Fourth Proportional to 2,737.24, 4,106.04 and 982.06

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Solution

The fourth proportional to 2,737.24, 4,106.04 and 982.06 is: 1,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.24 : 4,106.04 = 982.06 : x
  2. Step 2: Convert to fraction form
    2,737.24/4,106.04 = 982.06/x
  3. Step 3: Cross multiply
    2,737.24x = 4,106.04 × 982.06
  4. Step 4: Simplify right side
    2,737.24x = 4,032,377.64
  5. Step 5: Solve for x
    x = 4,032,377.64/2,737.24
  6. Step 6: Final answer
    x = 1,473.15

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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.