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Finding the Fourth Proportional to 3,205.25, 4,807.13 and 1,230.20

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Solution

The fourth proportional to 3,205.25, 4,807.13 and 1,230.20 is: 1,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.25 : 4,807.13 = 1,230.20 : x
  2. Step 2: Convert to fraction form
    3,205.25/4,807.13 = 1,230.20/x
  3. Step 3: Cross multiply
    3,205.25x = 4,807.13 × 1,230.20
  4. Step 4: Simplify right side
    3,205.25x = 5,913,701.14
  5. Step 5: Solve for x
    x = 5,913,701.14/3,205.25
  6. Step 6: Final answer
    x = 1,845.01

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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.