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Finding the Fourth Proportional to 2,542.01, 3,808.07 and 1,873.69

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Solution

The fourth proportional to 2,542.01, 3,808.07 and 1,873.69 is: 2,806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.01 : 3,808.07 = 1,873.69 : x
  2. Step 2: Convert to fraction form
    2,542.01/3,808.07 = 1,873.69/x
  3. Step 3: Cross multiply
    2,542.01x = 3,808.07 × 1,873.69
  4. Step 4: Simplify right side
    2,542.01x = 7,135,130.82
  5. Step 5: Solve for x
    x = 7,135,130.82/2,542.01
  6. Step 6: Final answer
    x = 2,806.89

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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.