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Finding the Fourth Proportional to 2,213.66, 3,320.55 and 915.23

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Solution

The fourth proportional to 2,213.66, 3,320.55 and 915.23 is: 1,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.66 : 3,320.55 = 915.23 : x
  2. Step 2: Convert to fraction form
    2,213.66/3,320.55 = 915.23/x
  3. Step 3: Cross multiply
    2,213.66x = 3,320.55 × 915.23
  4. Step 4: Simplify right side
    2,213.66x = 3,039,050.37
  5. Step 5: Solve for x
    x = 3,039,050.37/2,213.66
  6. Step 6: Final answer
    x = 1,372.87

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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.