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Finding the Fourth Proportional to 3,047.57, 4,205.65 and 1,650.32

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Solution

The fourth proportional to 3,047.57, 4,205.65 and 1,650.32 is: 2,277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.57 : 4,205.65 = 1,650.32 : x
  2. Step 2: Convert to fraction form
    3,047.57/4,205.65 = 1,650.32/x
  3. Step 3: Cross multiply
    3,047.57x = 4,205.65 × 1,650.32
  4. Step 4: Simplify right side
    3,047.57x = 6,940,668.31
  5. Step 5: Solve for x
    x = 6,940,668.31/3,047.57
  6. Step 6: Final answer
    x = 2,277.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.