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Finding the Fourth Proportional to 2,877.09, 4,315.55 and 825.09

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Solution

The fourth proportional to 2,877.09, 4,315.55 and 825.09 is: 1,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.09 : 4,315.55 = 825.09 : x
  2. Step 2: Convert to fraction form
    2,877.09/4,315.55 = 825.09/x
  3. Step 3: Cross multiply
    2,877.09x = 4,315.55 × 825.09
  4. Step 4: Simplify right side
    2,877.09x = 3,560,713.02
  5. Step 5: Solve for x
    x = 3,560,713.02/2,877.09
  6. Step 6: Final answer
    x = 1,237.61

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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.