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Finding the Fourth Proportional to 2,809.41, 4,210.10 and 2,063.17

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Solution

The fourth proportional to 2,809.41, 4,210.10 and 2,063.17 is: 3,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.41 : 4,210.10 = 2,063.17 : x
  2. Step 2: Convert to fraction form
    2,809.41/4,210.10 = 2,063.17/x
  3. Step 3: Cross multiply
    2,809.41x = 4,210.10 × 2,063.17
  4. Step 4: Simplify right side
    2,809.41x = 8,686,138.91
  5. Step 5: Solve for x
    x = 8,686,138.91/2,809.41
  6. Step 6: Final answer
    x = 3,091.80

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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.