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Finding the Fourth Proportional to 2,238.22, 3,363 and 1,416.88

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Solution

The fourth proportional to 2,238.22, 3,363 and 1,416.88 is: 2,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.22 : 3,363 = 1,416.88 : x
  2. Step 2: Convert to fraction form
    2,238.22/3,363 = 1,416.88/x
  3. Step 3: Cross multiply
    2,238.22x = 3,363 × 1,416.88
  4. Step 4: Simplify right side
    2,238.22x = 4,764,967.44
  5. Step 5: Solve for x
    x = 4,764,967.44/2,238.22
  6. Step 6: Final answer
    x = 2,128.91

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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.