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Finding the Fourth Proportional to 4,522.84, 6,782.04 and 1,600.72

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Solution

The fourth proportional to 4,522.84, 6,782.04 and 1,600.72 is: 2,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.84 : 6,782.04 = 1,600.72 : x
  2. Step 2: Convert to fraction form
    4,522.84/6,782.04 = 1,600.72/x
  3. Step 3: Cross multiply
    4,522.84x = 6,782.04 × 1,600.72
  4. Step 4: Simplify right side
    4,522.84x = 10,856,147.07
  5. Step 5: Solve for x
    x = 10,856,147.07/4,522.84
  6. Step 6: Final answer
    x = 2,400.29

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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.