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Finding the Fourth Proportional to 1,552.32, 2,327.04 and 937.44

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Solution

The fourth proportional to 1,552.32, 2,327.04 and 937.44 is: 1,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.32 : 2,327.04 = 937.44 : x
  2. Step 2: Convert to fraction form
    1,552.32/2,327.04 = 937.44/x
  3. Step 3: Cross multiply
    1,552.32x = 2,327.04 × 937.44
  4. Step 4: Simplify right side
    1,552.32x = 2,181,460.38
  5. Step 5: Solve for x
    x = 2,181,460.38/1,552.32
  6. Step 6: Final answer
    x = 1,405.29

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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.