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Finding the Fourth Proportional to 2,940.51, 4,057.98 and 1,614.22

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Solution

The fourth proportional to 2,940.51, 4,057.98 and 1,614.22 is: 2,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.51 : 4,057.98 = 1,614.22 : x
  2. Step 2: Convert to fraction form
    2,940.51/4,057.98 = 1,614.22/x
  3. Step 3: Cross multiply
    2,940.51x = 4,057.98 × 1,614.22
  4. Step 4: Simplify right side
    2,940.51x = 6,550,465.36
  5. Step 5: Solve for x
    x = 6,550,465.36/2,940.51
  6. Step 6: Final answer
    x = 2,227.66

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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.