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Finding the Fourth Proportional to 2,106.52, 3,159.86 and 567.56

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Solution

The fourth proportional to 2,106.52, 3,159.86 and 567.56 is: 851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.52 : 3,159.86 = 567.56 : x
  2. Step 2: Convert to fraction form
    2,106.52/3,159.86 = 567.56/x
  3. Step 3: Cross multiply
    2,106.52x = 3,159.86 × 567.56
  4. Step 4: Simplify right side
    2,106.52x = 1,793,410.14
  5. Step 5: Solve for x
    x = 1,793,410.14/2,106.52
  6. Step 6: Final answer
    x = 851.36

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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.