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Finding the Fourth Proportional to 3,205.92, 4,807.14 and 1,473

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Solution

The fourth proportional to 3,205.92, 4,807.14 and 1,473 is: 2,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.92 : 4,807.14 = 1,473 : x
  2. Step 2: Convert to fraction form
    3,205.92/4,807.14 = 1,473/x
  3. Step 3: Cross multiply
    3,205.92x = 4,807.14 × 1,473
  4. Step 4: Simplify right side
    3,205.92x = 7,080,917.22
  5. Step 5: Solve for x
    x = 7,080,917.22/3,205.92
  6. Step 6: Final answer
    x = 2,208.70

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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.