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Finding the Fourth Proportional to 2,663.51, 3,991.95 and 1,689.89

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Solution

The fourth proportional to 2,663.51, 3,991.95 and 1,689.89 is: 2,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.51 : 3,991.95 = 1,689.89 : x
  2. Step 2: Convert to fraction form
    2,663.51/3,991.95 = 1,689.89/x
  3. Step 3: Cross multiply
    2,663.51x = 3,991.95 × 1,689.89
  4. Step 4: Simplify right side
    2,663.51x = 6,745,936.43
  5. Step 5: Solve for x
    x = 6,745,936.43/2,663.51
  6. Step 6: Final answer
    x = 2,532.73

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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.