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Finding the Fourth Proportional to 2,539.30, 3,807.01 and 1,757.22

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Solution

The fourth proportional to 2,539.30, 3,807.01 and 1,757.22 is: 2,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.30 : 3,807.01 = 1,757.22 : x
  2. Step 2: Convert to fraction form
    2,539.30/3,807.01 = 1,757.22/x
  3. Step 3: Cross multiply
    2,539.30x = 3,807.01 × 1,757.22
  4. Step 4: Simplify right side
    2,539.30x = 6,689,754.11
  5. Step 5: Solve for x
    x = 6,689,754.11/2,539.30
  6. Step 6: Final answer
    x = 2,634.49

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Why These Related Problems?

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