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Finding the Fourth Proportional to 2,567.31, 3,543.02 and 1,448.23

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Solution

The fourth proportional to 2,567.31, 3,543.02 and 1,448.23 is: 1,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.31 : 3,543.02 = 1,448.23 : x
  2. Step 2: Convert to fraction form
    2,567.31/3,543.02 = 1,448.23/x
  3. Step 3: Cross multiply
    2,567.31x = 3,543.02 × 1,448.23
  4. Step 4: Simplify right side
    2,567.31x = 5,131,097.19
  5. Step 5: Solve for x
    x = 5,131,097.19/2,567.31
  6. Step 6: Final answer
    x = 1,998.62

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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.