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Finding the Fourth Proportional to 1,238.04, 1,857.96 and 997.47

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Solution

The fourth proportional to 1,238.04, 1,857.96 and 997.47 is: 1,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.04 : 1,857.96 = 997.47 : x
  2. Step 2: Convert to fraction form
    1,238.04/1,857.96 = 997.47/x
  3. Step 3: Cross multiply
    1,238.04x = 1,857.96 × 997.47
  4. Step 4: Simplify right side
    1,238.04x = 1,853,259.36
  5. Step 5: Solve for x
    x = 1,853,259.36/1,238.04
  6. Step 6: Final answer
    x = 1,496.93

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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.