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Finding the Fourth Proportional to 3,205.62, 4,807.80 and 1,473.84

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Solution

The fourth proportional to 3,205.62, 4,807.80 and 1,473.84 is: 2,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.62 : 4,807.80 = 1,473.84 : x
  2. Step 2: Convert to fraction form
    3,205.62/4,807.80 = 1,473.84/x
  3. Step 3: Cross multiply
    3,205.62x = 4,807.80 × 1,473.84
  4. Step 4: Simplify right side
    3,205.62x = 7,085,927.95
  5. Step 5: Solve for x
    x = 7,085,927.95/3,205.62
  6. Step 6: Final answer
    x = 2,210.47

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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.