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Finding the Fourth Proportional to 2,223.17, 3,333.73 and 1,299.01

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Solution

The fourth proportional to 2,223.17, 3,333.73 and 1,299.01 is: 1,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.17 : 3,333.73 = 1,299.01 : x
  2. Step 2: Convert to fraction form
    2,223.17/3,333.73 = 1,299.01/x
  3. Step 3: Cross multiply
    2,223.17x = 3,333.73 × 1,299.01
  4. Step 4: Simplify right side
    2,223.17x = 4,330,558.74
  5. Step 5: Solve for x
    x = 4,330,558.74/2,223.17
  6. Step 6: Final answer
    x = 1,947.92

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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.