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Finding the Fourth Proportional to 1,662.66, 2,493.99 and 688.64

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Solution

The fourth proportional to 1,662.66, 2,493.99 and 688.64 is: 1,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.66 : 2,493.99 = 688.64 : x
  2. Step 2: Convert to fraction form
    1,662.66/2,493.99 = 688.64/x
  3. Step 3: Cross multiply
    1,662.66x = 2,493.99 × 688.64
  4. Step 4: Simplify right side
    1,662.66x = 1,717,448.80
  5. Step 5: Solve for x
    x = 1,717,448.80/1,662.66
  6. Step 6: Final answer
    x = 1,032.95

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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.