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Finding the Fourth Proportional to 1,662.67, 2,494.05 and 622.93

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Solution

The fourth proportional to 1,662.67, 2,494.05 and 622.93 is: 934.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.67 : 2,494.05 = 622.93 : x
  2. Step 2: Convert to fraction form
    1,662.67/2,494.05 = 622.93/x
  3. Step 3: Cross multiply
    1,662.67x = 2,494.05 × 622.93
  4. Step 4: Simplify right side
    1,662.67x = 1,553,618.57
  5. Step 5: Solve for x
    x = 1,553,618.57/1,662.67
  6. Step 6: Final answer
    x = 934.41

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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.