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Finding the Fourth Proportional to 3,205.83, 4,807.78 and 1,724.14

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Solution

The fourth proportional to 3,205.83, 4,807.78 and 1,724.14 is: 2,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.83 : 4,807.78 = 1,724.14 : x
  2. Step 2: Convert to fraction form
    3,205.83/4,807.78 = 1,724.14/x
  3. Step 3: Cross multiply
    3,205.83x = 4,807.78 × 1,724.14
  4. Step 4: Simplify right side
    3,205.83x = 8,289,285.81
  5. Step 5: Solve for x
    x = 8,289,285.81/3,205.83
  6. Step 6: Final answer
    x = 2,585.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.