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Finding the Fourth Proportional to 2,224.04, 3,334.01 and 762.86

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Solution

The fourth proportional to 2,224.04, 3,334.01 and 762.86 is: 1,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.04 : 3,334.01 = 762.86 : x
  2. Step 2: Convert to fraction form
    2,224.04/3,334.01 = 762.86/x
  3. Step 3: Cross multiply
    2,224.04x = 3,334.01 × 762.86
  4. Step 4: Simplify right side
    2,224.04x = 2,543,362.38
  5. Step 5: Solve for x
    x = 2,543,362.38/2,224.04
  6. Step 6: Final answer
    x = 1,143.58

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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.