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Finding the Fourth Proportional to 1,861.09, 2,566.09 and 1,542.15

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Solution

The fourth proportional to 1,861.09, 2,566.09 and 1,542.15 is: 2,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.09 : 2,566.09 = 1,542.15 : x
  2. Step 2: Convert to fraction form
    1,861.09/2,566.09 = 1,542.15/x
  3. Step 3: Cross multiply
    1,861.09x = 2,566.09 × 1,542.15
  4. Step 4: Simplify right side
    1,861.09x = 3,957,295.69
  5. Step 5: Solve for x
    x = 3,957,295.69/1,861.09
  6. Step 6: Final answer
    x = 2,126.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.