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Finding the Fourth Proportional to 2,567.47, 3,543.14 and 1,448.46

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Solution

The fourth proportional to 2,567.47, 3,543.14 and 1,448.46 is: 1,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.47 : 3,543.14 = 1,448.46 : x
  2. Step 2: Convert to fraction form
    2,567.47/3,543.14 = 1,448.46/x
  3. Step 3: Cross multiply
    2,567.47x = 3,543.14 × 1,448.46
  4. Step 4: Simplify right side
    2,567.47x = 5,132,096.56
  5. Step 5: Solve for x
    x = 5,132,096.56/2,567.47
  6. Step 6: Final answer
    x = 1,998.89

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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.