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Finding the Fourth Proportional to 2,269.84, 3,406.08 and 1,809.20

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Solution

The fourth proportional to 2,269.84, 3,406.08 and 1,809.20 is: 2,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.84 : 3,406.08 = 1,809.20 : x
  2. Step 2: Convert to fraction form
    2,269.84/3,406.08 = 1,809.20/x
  3. Step 3: Cross multiply
    2,269.84x = 3,406.08 × 1,809.20
  4. Step 4: Simplify right side
    2,269.84x = 6,162,279.94
  5. Step 5: Solve for x
    x = 6,162,279.94/2,269.84
  6. Step 6: Final answer
    x = 2,714.85

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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.