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Finding the Fourth Proportional to 2,588.08, 3,877.80 and 2,074

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Solution

The fourth proportional to 2,588.08, 3,877.80 and 2,074 is: 3,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.08 : 3,877.80 = 2,074 : x
  2. Step 2: Convert to fraction form
    2,588.08/3,877.80 = 2,074/x
  3. Step 3: Cross multiply
    2,588.08x = 3,877.80 × 2,074
  4. Step 4: Simplify right side
    2,588.08x = 8,042,557.20
  5. Step 5: Solve for x
    x = 8,042,557.20/2,588.08
  6. Step 6: Final answer
    x = 3,107.54

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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.