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Finding the Fourth Proportional to 2,807.80, 3,874.75 and 1,548.82

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Solution

The fourth proportional to 2,807.80, 3,874.75 and 1,548.82 is: 2,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.80 : 3,874.75 = 1,548.82 : x
  2. Step 2: Convert to fraction form
    2,807.80/3,874.75 = 1,548.82/x
  3. Step 3: Cross multiply
    2,807.80x = 3,874.75 × 1,548.82
  4. Step 4: Simplify right side
    2,807.80x = 6,001,290.30
  5. Step 5: Solve for x
    x = 6,001,290.30/2,807.80
  6. Step 6: Final answer
    x = 2,137.36

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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.