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Finding the Fourth Proportional to 2,223.84, 3,335.82 and 1,704.78

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Solution

The fourth proportional to 2,223.84, 3,335.82 and 1,704.78 is: 2,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.84 : 3,335.82 = 1,704.78 : x
  2. Step 2: Convert to fraction form
    2,223.84/3,335.82 = 1,704.78/x
  3. Step 3: Cross multiply
    2,223.84x = 3,335.82 × 1,704.78
  4. Step 4: Simplify right side
    2,223.84x = 5,686,832.83
  5. Step 5: Solve for x
    x = 5,686,832.83/2,223.84
  6. Step 6: Final answer
    x = 2,557.22

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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.