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Finding the Fourth Proportional to 4,151.60, 6,228.10 and 1,230.20

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Solution

The fourth proportional to 4,151.60, 6,228.10 and 1,230.20 is: 1,845.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.60 : 6,228.10 = 1,230.20 : x
  2. Step 2: Convert to fraction form
    4,151.60/6,228.10 = 1,230.20/x
  3. Step 3: Cross multiply
    4,151.60x = 6,228.10 × 1,230.20
  4. Step 4: Simplify right side
    4,151.60x = 7,661,808.62
  5. Step 5: Solve for x
    x = 7,661,808.62/4,151.60
  6. Step 6: Final answer
    x = 1,845.51

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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.