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Finding the Fourth Proportional to 2,110.70, 3,166.04 and 571.70

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Solution

The fourth proportional to 2,110.70, 3,166.04 and 571.70 is: 857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.70 : 3,166.04 = 571.70 : x
  2. Step 2: Convert to fraction form
    2,110.70/3,166.04 = 571.70/x
  3. Step 3: Cross multiply
    2,110.70x = 3,166.04 × 571.70
  4. Step 4: Simplify right side
    2,110.70x = 1,810,006.38
  5. Step 5: Solve for x
    x = 1,810,006.38/2,110.70
  6. Step 6: Final answer
    x = 857.54

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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.