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Finding the Fourth Proportional to 1,902.20, 2,853.44 and 603.68

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Solution

The fourth proportional to 1,902.20, 2,853.44 and 603.68 is: 905.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.20 : 2,853.44 = 603.68 : x
  2. Step 2: Convert to fraction form
    1,902.20/2,853.44 = 603.68/x
  3. Step 3: Cross multiply
    1,902.20x = 2,853.44 × 603.68
  4. Step 4: Simplify right side
    1,902.20x = 1,722,547.37
  5. Step 5: Solve for x
    x = 1,722,547.37/1,902.20
  6. Step 6: Final answer
    x = 905.56

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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.