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Finding the Fourth Proportional to 2,227.32, 3,057.23 and 1,973.08

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Solution

The fourth proportional to 2,227.32, 3,057.23 and 1,973.08 is: 2,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.32 : 3,057.23 = 1,973.08 : x
  2. Step 2: Convert to fraction form
    2,227.32/3,057.23 = 1,973.08/x
  3. Step 3: Cross multiply
    2,227.32x = 3,057.23 × 1,973.08
  4. Step 4: Simplify right side
    2,227.32x = 6,032,159.37
  5. Step 5: Solve for x
    x = 6,032,159.37/2,227.32
  6. Step 6: Final answer
    x = 2,708.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.