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Finding the Fourth Proportional to 2,107.95, 3,161.92 and 568.95

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Solution

The fourth proportional to 2,107.95, 3,161.92 and 568.95 is: 853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.95 : 3,161.92 = 568.95 : x
  2. Step 2: Convert to fraction form
    2,107.95/3,161.92 = 568.95/x
  3. Step 3: Cross multiply
    2,107.95x = 3,161.92 × 568.95
  4. Step 4: Simplify right side
    2,107.95x = 1,798,972.96
  5. Step 5: Solve for x
    x = 1,798,972.96/2,107.95
  6. Step 6: Final answer
    x = 853.42

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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.