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Finding the Fourth Proportional to 2,799.24, 4,197 and 1,566.78

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Solution

The fourth proportional to 2,799.24, 4,197 and 1,566.78 is: 2,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.24 : 4,197 = 1,566.78 : x
  2. Step 2: Convert to fraction form
    2,799.24/4,197 = 1,566.78/x
  3. Step 3: Cross multiply
    2,799.24x = 4,197 × 1,566.78
  4. Step 4: Simplify right side
    2,799.24x = 6,575,775.66
  5. Step 5: Solve for x
    x = 6,575,775.66/2,799.24
  6. Step 6: Final answer
    x = 2,349.13

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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.