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Finding the Fourth Proportional to 4,600.50, 6,902.78 and 1,522.50

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Solution

The fourth proportional to 4,600.50, 6,902.78 and 1,522.50 is: 2,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.50 : 6,902.78 = 1,522.50 : x
  2. Step 2: Convert to fraction form
    4,600.50/6,902.78 = 1,522.50/x
  3. Step 3: Cross multiply
    4,600.50x = 6,902.78 × 1,522.50
  4. Step 4: Simplify right side
    4,600.50x = 10,509,482.55
  5. Step 5: Solve for x
    x = 10,509,482.55/4,600.50
  6. Step 6: Final answer
    x = 2,284.42

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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.