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Finding the Fourth Proportional to 2,784.62, 3,838.10 and 2,223.30

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Solution

The fourth proportional to 2,784.62, 3,838.10 and 2,223.30 is: 3,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.62 : 3,838.10 = 2,223.30 : x
  2. Step 2: Convert to fraction form
    2,784.62/3,838.10 = 2,223.30/x
  3. Step 3: Cross multiply
    2,784.62x = 3,838.10 × 2,223.30
  4. Step 4: Simplify right side
    2,784.62x = 8,533,247.73
  5. Step 5: Solve for x
    x = 8,533,247.73/2,784.62
  6. Step 6: Final answer
    x = 3,064.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.