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Finding the Fourth Proportional to 1,892.48, 2,837.44 and 737.92

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Solution

The fourth proportional to 1,892.48, 2,837.44 and 737.92 is: 1,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.48 : 2,837.44 = 737.92 : x
  2. Step 2: Convert to fraction form
    1,892.48/2,837.44 = 737.92/x
  3. Step 3: Cross multiply
    1,892.48x = 2,837.44 × 737.92
  4. Step 4: Simplify right side
    1,892.48x = 2,093,803.72
  5. Step 5: Solve for x
    x = 2,093,803.72/1,892.48
  6. Step 6: Final answer
    x = 1,106.38

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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.