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Finding the Fourth Proportional to 2,807.89, 3,874.91 and 1,548.99

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Solution

The fourth proportional to 2,807.89, 3,874.91 and 1,548.99 is: 2,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.89 : 3,874.91 = 1,548.99 : x
  2. Step 2: Convert to fraction form
    2,807.89/3,874.91 = 1,548.99/x
  3. Step 3: Cross multiply
    2,807.89x = 3,874.91 × 1,548.99
  4. Step 4: Simplify right side
    2,807.89x = 6,002,189.10
  5. Step 5: Solve for x
    x = 6,002,189.10/2,807.89
  6. Step 6: Final answer
    x = 2,137.62

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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.