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Finding the Fourth Proportional to 2,521.22, 3,782.34 and 877.89

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Solution

The fourth proportional to 2,521.22, 3,782.34 and 877.89 is: 1,317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.22 : 3,782.34 = 877.89 : x
  2. Step 2: Convert to fraction form
    2,521.22/3,782.34 = 877.89/x
  3. Step 3: Cross multiply
    2,521.22x = 3,782.34 × 877.89
  4. Step 4: Simplify right side
    2,521.22x = 3,320,473.27
  5. Step 5: Solve for x
    x = 3,320,473.27/2,521.22
  6. Step 6: Final answer
    x = 1,317.01

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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.