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Finding the Fourth Proportional to 2,213.69, 3,320.06 and 653.27

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Solution

The fourth proportional to 2,213.69, 3,320.06 and 653.27 is: 979.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.69 : 3,320.06 = 653.27 : x
  2. Step 2: Convert to fraction form
    2,213.69/3,320.06 = 653.27/x
  3. Step 3: Cross multiply
    2,213.69x = 3,320.06 × 653.27
  4. Step 4: Simplify right side
    2,213.69x = 2,168,875.73
  5. Step 5: Solve for x
    x = 2,168,875.73/2,213.69
  6. Step 6: Final answer
    x = 979.76

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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.