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Finding the Fourth Proportional to 2,378.61, 3,563.19 and 2,175.57

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Solution

The fourth proportional to 2,378.61, 3,563.19 and 2,175.57 is: 3,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.61 : 3,563.19 = 2,175.57 : x
  2. Step 2: Convert to fraction form
    2,378.61/3,563.19 = 2,175.57/x
  3. Step 3: Cross multiply
    2,378.61x = 3,563.19 × 2,175.57
  4. Step 4: Simplify right side
    2,378.61x = 7,751,969.27
  5. Step 5: Solve for x
    x = 7,751,969.27/2,378.61
  6. Step 6: Final answer
    x = 3,259.03

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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.