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Finding the Fourth Proportional to 2,666.37, 3,999.42 and 2,586.18

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Solution

The fourth proportional to 2,666.37, 3,999.42 and 2,586.18 is: 3,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.37 : 3,999.42 = 2,586.18 : x
  2. Step 2: Convert to fraction form
    2,666.37/3,999.42 = 2,586.18/x
  3. Step 3: Cross multiply
    2,666.37x = 3,999.42 × 2,586.18
  4. Step 4: Simplify right side
    2,666.37x = 10,343,220.02
  5. Step 5: Solve for x
    x = 10,343,220.02/2,666.37
  6. Step 6: Final answer
    x = 3,879.14

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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.