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Finding the Fourth Proportional to 2,213.13, 3,321.68 and 915.51

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Solution

The fourth proportional to 2,213.13, 3,321.68 and 915.51 is: 1,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.13 : 3,321.68 = 915.51 : x
  2. Step 2: Convert to fraction form
    2,213.13/3,321.68 = 915.51/x
  3. Step 3: Cross multiply
    2,213.13x = 3,321.68 × 915.51
  4. Step 4: Simplify right side
    2,213.13x = 3,041,039.14
  5. Step 5: Solve for x
    x = 3,041,039.14/2,213.13
  6. Step 6: Final answer
    x = 1,374.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.