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Finding the Fourth Proportional to 2,976.54, 4,107.63 and 1,650.22

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Solution

The fourth proportional to 2,976.54, 4,107.63 and 1,650.22 is: 2,277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.54 : 4,107.63 = 1,650.22 : x
  2. Step 2: Convert to fraction form
    2,976.54/4,107.63 = 1,650.22/x
  3. Step 3: Cross multiply
    2,976.54x = 4,107.63 × 1,650.22
  4. Step 4: Simplify right side
    2,976.54x = 6,778,480.41
  5. Step 5: Solve for x
    x = 6,778,480.41/2,976.54
  6. Step 6: Final answer
    x = 2,277.30

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1.5x scale

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.