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Finding the Fourth Proportional to 2,612.83, 3,919.79 and 881.59

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Solution

The fourth proportional to 2,612.83, 3,919.79 and 881.59 is: 1,322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.83 : 3,919.79 = 881.59 : x
  2. Step 2: Convert to fraction form
    2,612.83/3,919.79 = 881.59/x
  3. Step 3: Cross multiply
    2,612.83x = 3,919.79 × 881.59
  4. Step 4: Simplify right side
    2,612.83x = 3,455,647.67
  5. Step 5: Solve for x
    x = 3,455,647.67/2,612.83
  6. Step 6: Final answer
    x = 1,322.57

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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.