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Finding the Fourth Proportional to 2,108.61, 3,162.56 and 569.25

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Solution

The fourth proportional to 2,108.61, 3,162.56 and 569.25 is: 853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.61 : 3,162.56 = 569.25 : x
  2. Step 2: Convert to fraction form
    2,108.61/3,162.56 = 569.25/x
  3. Step 3: Cross multiply
    2,108.61x = 3,162.56 × 569.25
  4. Step 4: Simplify right side
    2,108.61x = 1,800,284.43
  5. Step 5: Solve for x
    x = 1,800,284.43/2,108.61
  6. Step 6: Final answer
    x = 853.78

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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.