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Finding the Fourth Proportional to 3,204.68, 4,807.65 and 1,355.78

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Solution

The fourth proportional to 3,204.68, 4,807.65 and 1,355.78 is: 2,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.68 : 4,807.65 = 1,355.78 : x
  2. Step 2: Convert to fraction form
    3,204.68/4,807.65 = 1,355.78/x
  3. Step 3: Cross multiply
    3,204.68x = 4,807.65 × 1,355.78
  4. Step 4: Simplify right side
    3,204.68x = 6,518,091.68
  5. Step 5: Solve for x
    x = 6,518,091.68/3,204.68
  6. Step 6: Final answer
    x = 2,033.93

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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.