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Finding the Fourth Proportional to 3,199.26, 4,415.71 and 2,078.25

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Solution

The fourth proportional to 3,199.26, 4,415.71 and 2,078.25 is: 2,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.26 : 4,415.71 = 2,078.25 : x
  2. Step 2: Convert to fraction form
    3,199.26/4,415.71 = 2,078.25/x
  3. Step 3: Cross multiply
    3,199.26x = 4,415.71 × 2,078.25
  4. Step 4: Simplify right side
    3,199.26x = 9,176,916.84
  5. Step 5: Solve for x
    x = 9,176,916.84/3,199.26
  6. Step 6: Final answer
    x = 2,868.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.