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Finding the Fourth Proportional to 2,543.58, 3,809.96 and 1,447.38

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Solution

The fourth proportional to 2,543.58, 3,809.96 and 1,447.38 is: 2,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.58 : 3,809.96 = 1,447.38 : x
  2. Step 2: Convert to fraction form
    2,543.58/3,809.96 = 1,447.38/x
  3. Step 3: Cross multiply
    2,543.58x = 3,809.96 × 1,447.38
  4. Step 4: Simplify right side
    2,543.58x = 5,514,459.90
  5. Step 5: Solve for x
    x = 5,514,459.90/2,543.58
  6. Step 6: Final answer
    x = 2,167.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.