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Finding the Fourth Proportional to 2,737.14, 4,106.55 and 982.11

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Solution

The fourth proportional to 2,737.14, 4,106.55 and 982.11 is: 1,473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.14 : 4,106.55 = 982.11 : x
  2. Step 2: Convert to fraction form
    2,737.14/4,106.55 = 982.11/x
  3. Step 3: Cross multiply
    2,737.14x = 4,106.55 × 982.11
  4. Step 4: Simplify right side
    2,737.14x = 4,033,083.82
  5. Step 5: Solve for x
    x = 4,033,083.82/2,737.14
  6. Step 6: Final answer
    x = 1,473.47

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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.