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Finding the Fourth Proportional to 2,521.24, 3,782.44 and 877.79

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Solution

The fourth proportional to 2,521.24, 3,782.44 and 877.79 is: 1,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.24 : 3,782.44 = 877.79 : x
  2. Step 2: Convert to fraction form
    2,521.24/3,782.44 = 877.79/x
  3. Step 3: Cross multiply
    2,521.24x = 3,782.44 × 877.79
  4. Step 4: Simplify right side
    2,521.24x = 3,320,190.02
  5. Step 5: Solve for x
    x = 3,320,190.02/2,521.24
  6. Step 6: Final answer
    x = 1,316.89

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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.