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Finding the Fourth Proportional to 3,166.60, 4,750.38 and 1,522.84

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Solution

The fourth proportional to 3,166.60, 4,750.38 and 1,522.84 is: 2,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.60 : 4,750.38 = 1,522.84 : x
  2. Step 2: Convert to fraction form
    3,166.60/4,750.38 = 1,522.84/x
  3. Step 3: Cross multiply
    3,166.60x = 4,750.38 × 1,522.84
  4. Step 4: Simplify right side
    3,166.60x = 7,234,068.68
  5. Step 5: Solve for x
    x = 7,234,068.68/3,166.60
  6. Step 6: Final answer
    x = 2,284.49

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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.