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Finding the Fourth Proportional to 2,152.78, 3,224.29 and 2,104.18

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Solution

The fourth proportional to 2,152.78, 3,224.29 and 2,104.18 is: 3,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.78 : 3,224.29 = 2,104.18 : x
  2. Step 2: Convert to fraction form
    2,152.78/3,224.29 = 2,104.18/x
  3. Step 3: Cross multiply
    2,152.78x = 3,224.29 × 2,104.18
  4. Step 4: Simplify right side
    2,152.78x = 6,784,486.53
  5. Step 5: Solve for x
    x = 6,784,486.53/2,152.78
  6. Step 6: Final answer
    x = 3,151.50

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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.