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Finding the Fourth Proportional to 2,215.10, 3,323.05 and 676.06

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Solution

The fourth proportional to 2,215.10, 3,323.05 and 676.06 is: 1,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.10 : 3,323.05 = 676.06 : x
  2. Step 2: Convert to fraction form
    2,215.10/3,323.05 = 676.06/x
  3. Step 3: Cross multiply
    2,215.10x = 3,323.05 × 676.06
  4. Step 4: Simplify right side
    2,215.10x = 2,246,581.18
  5. Step 5: Solve for x
    x = 2,246,581.18/2,215.10
  6. Step 6: Final answer
    x = 1,014.21

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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.