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Finding the Fourth Proportional to 2,180.71, 3,265.08 and 1,523.24

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Solution

The fourth proportional to 2,180.71, 3,265.08 and 1,523.24 is: 2,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.71 : 3,265.08 = 1,523.24 : x
  2. Step 2: Convert to fraction form
    2,180.71/3,265.08 = 1,523.24/x
  3. Step 3: Cross multiply
    2,180.71x = 3,265.08 × 1,523.24
  4. Step 4: Simplify right side
    2,180.71x = 4,973,509.03
  5. Step 5: Solve for x
    x = 4,973,509.03/2,180.71
  6. Step 6: Final answer
    x = 2,280.68

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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.