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Finding the Fourth Proportional to 2,127.78, 3,192.48 and 741.29

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Solution

The fourth proportional to 2,127.78, 3,192.48 and 741.29 is: 1,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.78 : 3,192.48 = 741.29 : x
  2. Step 2: Convert to fraction form
    2,127.78/3,192.48 = 741.29/x
  3. Step 3: Cross multiply
    2,127.78x = 3,192.48 × 741.29
  4. Step 4: Simplify right side
    2,127.78x = 2,366,537.54
  5. Step 5: Solve for x
    x = 2,366,537.54/2,127.78
  6. Step 6: Final answer
    x = 1,112.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.