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Finding the Fourth Proportional to 2,548.71, 3,826.14 and 1,509.88

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Solution

The fourth proportional to 2,548.71, 3,826.14 and 1,509.88 is: 2,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.71 : 3,826.14 = 1,509.88 : x
  2. Step 2: Convert to fraction form
    2,548.71/3,826.14 = 1,509.88/x
  3. Step 3: Cross multiply
    2,548.71x = 3,826.14 × 1,509.88
  4. Step 4: Simplify right side
    2,548.71x = 5,777,027.82
  5. Step 5: Solve for x
    x = 5,777,027.82/2,548.71
  6. Step 6: Final answer
    x = 2,266.65

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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.