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Finding the Fourth Proportional to 2,529.66, 3,796.24 and 886.22

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Solution

The fourth proportional to 2,529.66, 3,796.24 and 886.22 is: 1,329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.66 : 3,796.24 = 886.22 : x
  2. Step 2: Convert to fraction form
    2,529.66/3,796.24 = 886.22/x
  3. Step 3: Cross multiply
    2,529.66x = 3,796.24 × 886.22
  4. Step 4: Simplify right side
    2,529.66x = 3,364,282.62
  5. Step 5: Solve for x
    x = 3,364,282.62/2,529.66
  6. Step 6: Final answer
    x = 1,329.93

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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.