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Finding the Fourth Proportional to 2,976.51, 4,108.07 and 2,267.22

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Solution

The fourth proportional to 2,976.51, 4,108.07 and 2,267.22 is: 3,129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.51 : 4,108.07 = 2,267.22 : x
  2. Step 2: Convert to fraction form
    2,976.51/4,108.07 = 2,267.22/x
  3. Step 3: Cross multiply
    2,976.51x = 4,108.07 × 2,267.22
  4. Step 4: Simplify right side
    2,976.51x = 9,313,898.47
  5. Step 5: Solve for x
    x = 9,313,898.47/2,976.51
  6. Step 6: Final answer
    x = 3,129.13

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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.