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Finding the Fourth Proportional to 2,976.40, 4,107.40 and 1,650.16

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Solution

The fourth proportional to 2,976.40, 4,107.40 and 1,650.16 is: 2,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.40 : 4,107.40 = 1,650.16 : x
  2. Step 2: Convert to fraction form
    2,976.40/4,107.40 = 1,650.16/x
  3. Step 3: Cross multiply
    2,976.40x = 4,107.40 × 1,650.16
  4. Step 4: Simplify right side
    2,976.40x = 6,777,867.18
  5. Step 5: Solve for x
    x = 6,777,867.18/2,976.40
  6. Step 6: Final answer
    x = 2,277.20

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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.