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Finding the Fourth Proportional to 2,599.39, 3,899.54 and 1,139.57

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Solution

The fourth proportional to 2,599.39, 3,899.54 and 1,139.57 is: 1,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.39 : 3,899.54 = 1,139.57 : x
  2. Step 2: Convert to fraction form
    2,599.39/3,899.54 = 1,139.57/x
  3. Step 3: Cross multiply
    2,599.39x = 3,899.54 × 1,139.57
  4. Step 4: Simplify right side
    2,599.39x = 4,443,796.77
  5. Step 5: Solve for x
    x = 4,443,796.77/2,599.39
  6. Step 6: Final answer
    x = 1,709.55

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