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Finding the Fourth Proportional to 2,521.48, 3,782.20 and 878

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Solution

The fourth proportional to 2,521.48, 3,782.20 and 878 is: 1,316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.48 : 3,782.20 = 878 : x
  2. Step 2: Convert to fraction form
    2,521.48/3,782.20 = 878/x
  3. Step 3: Cross multiply
    2,521.48x = 3,782.20 × 878
  4. Step 4: Simplify right side
    2,521.48x = 3,320,771.60
  5. Step 5: Solve for x
    x = 3,320,771.60/2,521.48
  6. Step 6: Final answer
    x = 1,316.99

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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.