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Finding the Fourth Proportional to 2,599.88, 3,589.14 and 2,009.08

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Solution

The fourth proportional to 2,599.88, 3,589.14 and 2,009.08 is: 2,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.88 : 3,589.14 = 2,009.08 : x
  2. Step 2: Convert to fraction form
    2,599.88/3,589.14 = 2,009.08/x
  3. Step 3: Cross multiply
    2,599.88x = 3,589.14 × 2,009.08
  4. Step 4: Simplify right side
    2,599.88x = 7,210,869.39
  5. Step 5: Solve for x
    x = 7,210,869.39/2,599.88
  6. Step 6: Final answer
    x = 2,773.54

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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.