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Finding the Fourth Proportional to 2,106.52, 3,159.82 and 645.69

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Solution

The fourth proportional to 2,106.52, 3,159.82 and 645.69 is: 968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.52 : 3,159.82 = 645.69 : x
  2. Step 2: Convert to fraction form
    2,106.52/3,159.82 = 645.69/x
  3. Step 3: Cross multiply
    2,106.52x = 3,159.82 × 645.69
  4. Step 4: Simplify right side
    2,106.52x = 2,040,257.24
  5. Step 5: Solve for x
    x = 2,040,257.24/2,106.52
  6. Step 6: Final answer
    x = 968.54

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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.