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Finding the Fourth Proportional to 2,832.59, 4,239.79 and 1,513.05

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Solution

The fourth proportional to 2,832.59, 4,239.79 and 1,513.05 is: 2,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.59 : 4,239.79 = 1,513.05 : x
  2. Step 2: Convert to fraction form
    2,832.59/4,239.79 = 1,513.05/x
  3. Step 3: Cross multiply
    2,832.59x = 4,239.79 × 1,513.05
  4. Step 4: Simplify right side
    2,832.59x = 6,414,993.83
  5. Step 5: Solve for x
    x = 6,414,993.83/2,832.59
  6. Step 6: Final answer
    x = 2,264.71

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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.