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Finding the Fourth Proportional to 2,809.74, 4,215.96 and 1,511.04

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Solution

The fourth proportional to 2,809.74, 4,215.96 and 1,511.04 is: 2,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.74 : 4,215.96 = 1,511.04 : x
  2. Step 2: Convert to fraction form
    2,809.74/4,215.96 = 1,511.04/x
  3. Step 3: Cross multiply
    2,809.74x = 4,215.96 × 1,511.04
  4. Step 4: Simplify right side
    2,809.74x = 6,370,484.20
  5. Step 5: Solve for x
    x = 6,370,484.20/2,809.74
  6. Step 6: Final answer
    x = 2,267.29

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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.