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Finding the Fourth Proportional to 3,160.90, 4,742.02 and 1,213.10

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Solution

The fourth proportional to 3,160.90, 4,742.02 and 1,213.10 is: 1,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.90 : 4,742.02 = 1,213.10 : x
  2. Step 2: Convert to fraction form
    3,160.90/4,742.02 = 1,213.10/x
  3. Step 3: Cross multiply
    3,160.90x = 4,742.02 × 1,213.10
  4. Step 4: Simplify right side
    3,160.90x = 5,752,544.46
  5. Step 5: Solve for x
    x = 5,752,544.46/3,160.90
  6. Step 6: Final answer
    x = 1,819.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.