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Finding the Fourth Proportional to 2,586.10, 3,879.15 and 2,002.90

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Solution

The fourth proportional to 2,586.10, 3,879.15 and 2,002.90 is: 3,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.10 : 3,879.15 = 2,002.90 : x
  2. Step 2: Convert to fraction form
    2,586.10/3,879.15 = 2,002.90/x
  3. Step 3: Cross multiply
    2,586.10x = 3,879.15 × 2,002.90
  4. Step 4: Simplify right side
    2,586.10x = 7,769,549.54
  5. Step 5: Solve for x
    x = 7,769,549.54/2,586.10
  6. Step 6: Final answer
    x = 3,004.35

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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.