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Finding the Fourth Proportional to 2,599.78, 3,900.84 and 1,139.35

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Solution

The fourth proportional to 2,599.78, 3,900.84 and 1,139.35 is: 1,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.78 : 3,900.84 = 1,139.35 : x
  2. Step 2: Convert to fraction form
    2,599.78/3,900.84 = 1,139.35/x
  3. Step 3: Cross multiply
    2,599.78x = 3,900.84 × 1,139.35
  4. Step 4: Simplify right side
    2,599.78x = 4,444,422.05
  5. Step 5: Solve for x
    x = 4,444,422.05/2,599.78
  6. Step 6: Final answer
    x = 1,709.54

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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.