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Finding the Fourth Proportional to 2,522.83, 3,781.65 and 878.02

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Solution

The fourth proportional to 2,522.83, 3,781.65 and 878.02 is: 1,316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.83 : 3,781.65 = 878.02 : x
  2. Step 2: Convert to fraction form
    2,522.83/3,781.65 = 878.02/x
  3. Step 3: Cross multiply
    2,522.83x = 3,781.65 × 878.02
  4. Step 4: Simplify right side
    2,522.83x = 3,320,345.42
  5. Step 5: Solve for x
    x = 3,320,345.42/2,522.83
  6. Step 6: Final answer
    x = 1,316.12

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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.