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Finding the Fourth Proportional to 2,599.29, 3,584.25 and 2,222.64

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Solution

The fourth proportional to 2,599.29, 3,584.25 and 2,222.64 is: 3,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.29 : 3,584.25 = 2,222.64 : x
  2. Step 2: Convert to fraction form
    2,599.29/3,584.25 = 2,222.64/x
  3. Step 3: Cross multiply
    2,599.29x = 3,584.25 × 2,222.64
  4. Step 4: Simplify right side
    2,599.29x = 7,966,497.42
  5. Step 5: Solve for x
    x = 7,966,497.42/2,599.29
  6. Step 6: Final answer
    x = 3,064.87

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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.