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Finding the Fourth Proportional to 2,599.36, 3,897.82 and 2,104.55

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Solution

The fourth proportional to 2,599.36, 3,897.82 and 2,104.55 is: 3,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.36 : 3,897.82 = 2,104.55 : x
  2. Step 2: Convert to fraction form
    2,599.36/3,897.82 = 2,104.55/x
  3. Step 3: Cross multiply
    2,599.36x = 3,897.82 × 2,104.55
  4. Step 4: Simplify right side
    2,599.36x = 8,203,154.84
  5. Step 5: Solve for x
    x = 8,203,154.84/2,599.36
  6. Step 6: Final answer
    x = 3,155.84

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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.