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Finding the Fourth Proportional to 1,664.69, 2,306.98 and 1,641.20

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Solution

The fourth proportional to 1,664.69, 2,306.98 and 1,641.20 is: 2,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.69 : 2,306.98 = 1,641.20 : x
  2. Step 2: Convert to fraction form
    1,664.69/2,306.98 = 1,641.20/x
  3. Step 3: Cross multiply
    1,664.69x = 2,306.98 × 1,641.20
  4. Step 4: Simplify right side
    1,664.69x = 3,786,204.87
  5. Step 5: Solve for x
    x = 3,786,204.87/1,664.69
  6. Step 6: Final answer
    x = 2,274.43

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.