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Finding the Fourth Proportional to 2,387.94, 3,296.50 and 1,504.22

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Solution

The fourth proportional to 2,387.94, 3,296.50 and 1,504.22 is: 2,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.94 : 3,296.50 = 1,504.22 : x
  2. Step 2: Convert to fraction form
    2,387.94/3,296.50 = 1,504.22/x
  3. Step 3: Cross multiply
    2,387.94x = 3,296.50 × 1,504.22
  4. Step 4: Simplify right side
    2,387.94x = 4,958,661.23
  5. Step 5: Solve for x
    x = 4,958,661.23/2,387.94
  6. Step 6: Final answer
    x = 2,076.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.