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Finding the Fourth Proportional to 2,569.82, 3,543.03 and 2,097.23

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Solution

The fourth proportional to 2,569.82, 3,543.03 and 2,097.23 is: 2,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.82 : 3,543.03 = 2,097.23 : x
  2. Step 2: Convert to fraction form
    2,569.82/3,543.03 = 2,097.23/x
  3. Step 3: Cross multiply
    2,569.82x = 3,543.03 × 2,097.23
  4. Step 4: Simplify right side
    2,569.82x = 7,430,531.09
  5. Step 5: Solve for x
    x = 7,430,531.09/2,569.82
  6. Step 6: Final answer
    x = 2,891.47

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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.