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Finding the Fourth Proportional to 2,522.88, 3,784.32 and 2,469.12

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Solution

The fourth proportional to 2,522.88, 3,784.32 and 2,469.12 is: 3,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.88 : 3,784.32 = 2,469.12 : x
  2. Step 2: Convert to fraction form
    2,522.88/3,784.32 = 2,469.12/x
  3. Step 3: Cross multiply
    2,522.88x = 3,784.32 × 2,469.12
  4. Step 4: Simplify right side
    2,522.88x = 9,343,940.20
  5. Step 5: Solve for x
    x = 9,343,940.20/2,522.88
  6. Step 6: Final answer
    x = 3,703.68

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1.5x scale

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.