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Finding the Fourth Proportional to 2,599.79, 3,588.56 and 2,069.64

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Solution

The fourth proportional to 2,599.79, 3,588.56 and 2,069.64 is: 2,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.79 : 3,588.56 = 2,069.64 : x
  2. Step 2: Convert to fraction form
    2,599.79/3,588.56 = 2,069.64/x
  3. Step 3: Cross multiply
    2,599.79x = 3,588.56 × 2,069.64
  4. Step 4: Simplify right side
    2,599.79x = 7,427,016.97
  5. Step 5: Solve for x
    x = 7,427,016.97/2,599.79
  6. Step 6: Final answer
    x = 2,856.78

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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.