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Finding the Fourth Proportional to 1,866.62, 2,799.26 and 550

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Solution

The fourth proportional to 1,866.62, 2,799.26 and 550 is: 824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.62 : 2,799.26 = 550 : x
  2. Step 2: Convert to fraction form
    1,866.62/2,799.26 = 550/x
  3. Step 3: Cross multiply
    1,866.62x = 2,799.26 × 550
  4. Step 4: Simplify right side
    1,866.62x = 1,539,593.00
  5. Step 5: Solve for x
    x = 1,539,593.00/1,866.62
  6. Step 6: Final answer
    x = 824.80

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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.