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Finding the Fourth Proportional to 2,681.85, 4,024.28 and 2,095.21

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Solution

The fourth proportional to 2,681.85, 4,024.28 and 2,095.21 is: 3,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.85 : 4,024.28 = 2,095.21 : x
  2. Step 2: Convert to fraction form
    2,681.85/4,024.28 = 2,095.21/x
  3. Step 3: Cross multiply
    2,681.85x = 4,024.28 × 2,095.21
  4. Step 4: Simplify right side
    2,681.85x = 8,431,699.33
  5. Step 5: Solve for x
    x = 8,431,699.33/2,681.85
  6. Step 6: Final answer
    x = 3,143.99

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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.