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Finding the Fourth Proportional to 2,008.59, 3,010.24 and 1,084.38

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Solution

The fourth proportional to 2,008.59, 3,010.24 and 1,084.38 is: 1,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.59 : 3,010.24 = 1,084.38 : x
  2. Step 2: Convert to fraction form
    2,008.59/3,010.24 = 1,084.38/x
  3. Step 3: Cross multiply
    2,008.59x = 3,010.24 × 1,084.38
  4. Step 4: Simplify right side
    2,008.59x = 3,264,244.05
  5. Step 5: Solve for x
    x = 3,264,244.05/2,008.59
  6. Step 6: Final answer
    x = 1,625.14

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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.