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Finding the Fourth Proportional to 3,309.83, 4,967.15 and 1,230.14

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Solution

The fourth proportional to 3,309.83, 4,967.15 and 1,230.14 is: 1,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.83 : 4,967.15 = 1,230.14 : x
  2. Step 2: Convert to fraction form
    3,309.83/4,967.15 = 1,230.14/x
  3. Step 3: Cross multiply
    3,309.83x = 4,967.15 × 1,230.14
  4. Step 4: Simplify right side
    3,309.83x = 6,110,258.91
  5. Step 5: Solve for x
    x = 6,110,258.91/3,309.83
  6. Step 6: Final answer
    x = 1,846.10

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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.