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Finding the Fourth Proportional to 2,215.06, 3,321.57 and 753.82

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Solution

The fourth proportional to 2,215.06, 3,321.57 and 753.82 is: 1,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.06 : 3,321.57 = 753.82 : x
  2. Step 2: Convert to fraction form
    2,215.06/3,321.57 = 753.82/x
  3. Step 3: Cross multiply
    2,215.06x = 3,321.57 × 753.82
  4. Step 4: Simplify right side
    2,215.06x = 2,503,860.42
  5. Step 5: Solve for x
    x = 2,503,860.42/2,215.06
  6. Step 6: Final answer
    x = 1,130.38

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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.