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Finding the Fourth Proportional to 2,226.84, 3,069.76 and 1,753.22

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Solution

The fourth proportional to 2,226.84, 3,069.76 and 1,753.22 is: 2,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.84 : 3,069.76 = 1,753.22 : x
  2. Step 2: Convert to fraction form
    2,226.84/3,069.76 = 1,753.22/x
  3. Step 3: Cross multiply
    2,226.84x = 3,069.76 × 1,753.22
  4. Step 4: Simplify right side
    2,226.84x = 5,381,964.63
  5. Step 5: Solve for x
    x = 5,381,964.63/2,226.84
  6. Step 6: Final answer
    x = 2,416.86

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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.