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Finding the Fourth Proportional to 2,215.68, 3,323.16 and 676.68

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Solution

The fourth proportional to 2,215.68, 3,323.16 and 676.68 is: 1,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.68 : 3,323.16 = 676.68 : x
  2. Step 2: Convert to fraction form
    2,215.68/3,323.16 = 676.68/x
  3. Step 3: Cross multiply
    2,215.68x = 3,323.16 × 676.68
  4. Step 4: Simplify right side
    2,215.68x = 2,248,715.91
  5. Step 5: Solve for x
    x = 2,248,715.91/2,215.68
  6. Step 6: Final answer
    x = 1,014.91

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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.