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Finding the Fourth Proportional to 2,108.33, 3,162.48 and 569.33

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Solution

The fourth proportional to 2,108.33, 3,162.48 and 569.33 is: 853.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.33 : 3,162.48 = 569.33 : x
  2. Step 2: Convert to fraction form
    2,108.33/3,162.48 = 569.33/x
  3. Step 3: Cross multiply
    2,108.33x = 3,162.48 × 569.33
  4. Step 4: Simplify right side
    2,108.33x = 1,800,488.65
  5. Step 5: Solve for x
    x = 1,800,488.65/2,108.33
  6. Step 6: Final answer
    x = 853.99

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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.