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Finding the Fourth Proportional to 2,014.73, 2,781.82 and 1,737.94

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Solution

The fourth proportional to 2,014.73, 2,781.82 and 1,737.94 is: 2,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.73 : 2,781.82 = 1,737.94 : x
  2. Step 2: Convert to fraction form
    2,014.73/2,781.82 = 1,737.94/x
  3. Step 3: Cross multiply
    2,014.73x = 2,781.82 × 1,737.94
  4. Step 4: Simplify right side
    2,014.73x = 4,834,636.25
  5. Step 5: Solve for x
    x = 4,834,636.25/2,014.73
  6. Step 6: Final answer
    x = 2,399.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.