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Finding the Fourth Proportional to 2,571.68, 3,857.60 and 722.95

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Solution

The fourth proportional to 2,571.68, 3,857.60 and 722.95 is: 1,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.68 : 3,857.60 = 722.95 : x
  2. Step 2: Convert to fraction form
    2,571.68/3,857.60 = 722.95/x
  3. Step 3: Cross multiply
    2,571.68x = 3,857.60 × 722.95
  4. Step 4: Simplify right side
    2,571.68x = 2,788,844.08
  5. Step 5: Solve for x
    x = 2,788,844.08/2,571.68
  6. Step 6: Final answer
    x = 1,084.44

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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.