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Finding the Fourth Proportional to 2,571.82, 3,545.79 and 2,099.23

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Solution

The fourth proportional to 2,571.82, 3,545.79 and 2,099.23 is: 2,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.82 : 3,545.79 = 2,099.23 : x
  2. Step 2: Convert to fraction form
    2,571.82/3,545.79 = 2,099.23/x
  3. Step 3: Cross multiply
    2,571.82x = 3,545.79 × 2,099.23
  4. Step 4: Simplify right side
    2,571.82x = 7,443,411.01
  5. Step 5: Solve for x
    x = 7,443,411.01/2,571.82
  6. Step 6: Final answer
    x = 2,894.22

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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.