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Finding the Fourth Proportional to 2,213.14, 3,319.29 and 653.23

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Solution

The fourth proportional to 2,213.14, 3,319.29 and 653.23 is: 979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.14 : 3,319.29 = 653.23 : x
  2. Step 2: Convert to fraction form
    2,213.14/3,319.29 = 653.23/x
  3. Step 3: Cross multiply
    2,213.14x = 3,319.29 × 653.23
  4. Step 4: Simplify right side
    2,213.14x = 2,168,259.81
  5. Step 5: Solve for x
    x = 2,168,259.81/2,213.14
  6. Step 6: Final answer
    x = 979.72

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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.