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Finding the Fourth Proportional to 2,777.24, 3,830.77 and 1,657.43

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Solution

The fourth proportional to 2,777.24, 3,830.77 and 1,657.43 is: 2,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.24 : 3,830.77 = 1,657.43 : x
  2. Step 2: Convert to fraction form
    2,777.24/3,830.77 = 1,657.43/x
  3. Step 3: Cross multiply
    2,777.24x = 3,830.77 × 1,657.43
  4. Step 4: Simplify right side
    2,777.24x = 6,349,233.12
  5. Step 5: Solve for x
    x = 6,349,233.12/2,777.24
  6. Step 6: Final answer
    x = 2,286.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.