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Finding the Fourth Proportional to 3,153.70, 4,730.50 and 845.20

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Solution

The fourth proportional to 3,153.70, 4,730.50 and 845.20 is: 1,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.70 : 4,730.50 = 845.20 : x
  2. Step 2: Convert to fraction form
    3,153.70/4,730.50 = 845.20/x
  3. Step 3: Cross multiply
    3,153.70x = 4,730.50 × 845.20
  4. Step 4: Simplify right side
    3,153.70x = 3,998,218.60
  5. Step 5: Solve for x
    x = 3,998,218.60/3,153.70
  6. Step 6: Final answer
    x = 1,267.79

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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.