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Finding the Fourth Proportional to 1,234.04, 1,857.25 and 927.48

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Solution

The fourth proportional to 1,234.04, 1,857.25 and 927.48 is: 1,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.04 : 1,857.25 = 927.48 : x
  2. Step 2: Convert to fraction form
    1,234.04/1,857.25 = 927.48/x
  3. Step 3: Cross multiply
    1,234.04x = 1,857.25 × 927.48
  4. Step 4: Simplify right side
    1,234.04x = 1,722,562.23
  5. Step 5: Solve for x
    x = 1,722,562.23/1,234.04
  6. Step 6: Final answer
    x = 1,395.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.