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Finding the Fourth Proportional to 2,213.75, 3,320.02 and 653.59

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Solution

The fourth proportional to 2,213.75, 3,320.02 and 653.59 is: 980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.75 : 3,320.02 = 653.59 : x
  2. Step 2: Convert to fraction form
    2,213.75/3,320.02 = 653.59/x
  3. Step 3: Cross multiply
    2,213.75x = 3,320.02 × 653.59
  4. Step 4: Simplify right side
    2,213.75x = 2,169,934.39
  5. Step 5: Solve for x
    x = 2,169,934.39/2,213.75
  6. Step 6: Final answer
    x = 980.21

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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.