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Finding the Fourth Proportional to 3,283.98, 4,532.63 and 2,088.72

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Solution

The fourth proportional to 3,283.98, 4,532.63 and 2,088.72 is: 2,882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.98 : 4,532.63 = 2,088.72 : x
  2. Step 2: Convert to fraction form
    3,283.98/4,532.63 = 2,088.72/x
  3. Step 3: Cross multiply
    3,283.98x = 4,532.63 × 2,088.72
  4. Step 4: Simplify right side
    3,283.98x = 9,467,394.93
  5. Step 5: Solve for x
    x = 9,467,394.93/3,283.98
  6. Step 6: Final answer
    x = 2,882.90

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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.