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Finding the Fourth Proportional to 2,529.91, 3,796.61 and 886.47

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Solution

The fourth proportional to 2,529.91, 3,796.61 and 886.47 is: 1,330.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.91 : 3,796.61 = 886.47 : x
  2. Step 2: Convert to fraction form
    2,529.91/3,796.61 = 886.47/x
  3. Step 3: Cross multiply
    2,529.91x = 3,796.61 × 886.47
  4. Step 4: Simplify right side
    2,529.91x = 3,365,561.88
  5. Step 5: Solve for x
    x = 3,365,561.88/2,529.91
  6. Step 6: Final answer
    x = 1,330.31

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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.