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Finding the Fourth Proportional to 2,699.72, 3,727.73 and 2,111.93

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Solution

The fourth proportional to 2,699.72, 3,727.73 and 2,111.93 is: 2,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.72 : 3,727.73 = 2,111.93 : x
  2. Step 2: Convert to fraction form
    2,699.72/3,727.73 = 2,111.93/x
  3. Step 3: Cross multiply
    2,699.72x = 3,727.73 × 2,111.93
  4. Step 4: Simplify right side
    2,699.72x = 7,872,704.82
  5. Step 5: Solve for x
    x = 7,872,704.82/2,699.72
  6. Step 6: Final answer
    x = 2,916.12

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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.