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Finding the Fourth Proportional to 2,180.58, 3,270.90 and 537.12

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Solution

The fourth proportional to 2,180.58, 3,270.90 and 537.12 is: 805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.58 : 3,270.90 = 537.12 : x
  2. Step 2: Convert to fraction form
    2,180.58/3,270.90 = 537.12/x
  3. Step 3: Cross multiply
    2,180.58x = 3,270.90 × 537.12
  4. Step 4: Simplify right side
    2,180.58x = 1,756,865.81
  5. Step 5: Solve for x
    x = 1,756,865.81/2,180.58
  6. Step 6: Final answer
    x = 805.69

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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.