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Finding the Fourth Proportional to 2,584.95, 3,877.37 and 829.95

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Solution

The fourth proportional to 2,584.95, 3,877.37 and 829.95 is: 1,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.95 : 3,877.37 = 829.95 : x
  2. Step 2: Convert to fraction form
    2,584.95/3,877.37 = 829.95/x
  3. Step 3: Cross multiply
    2,584.95x = 3,877.37 × 829.95
  4. Step 4: Simplify right side
    2,584.95x = 3,218,019.08
  5. Step 5: Solve for x
    x = 3,218,019.08/2,584.95
  6. Step 6: Final answer
    x = 1,244.91

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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.