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Finding the Fourth Proportional to 2,794.16, 4,217.50 and 2,794.16

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Solution

The fourth proportional to 2,794.16, 4,217.50 and 2,794.16 is: 4,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.16 : 4,217.50 = 2,794.16 : x
  2. Step 2: Convert to fraction form
    2,794.16/4,217.50 = 2,794.16/x
  3. Step 3: Cross multiply
    2,794.16x = 4,217.50 × 2,794.16
  4. Step 4: Simplify right side
    2,794.16x = 11,784,369.80
  5. Step 5: Solve for x
    x = 11,784,369.80/2,794.16
  6. Step 6: Final answer
    x = 4,217.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.