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Finding the Fourth Proportional to 1,902.98, 2,853.65 and 604.55

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Solution

The fourth proportional to 1,902.98, 2,853.65 and 604.55 is: 906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.98 : 2,853.65 = 604.55 : x
  2. Step 2: Convert to fraction form
    1,902.98/2,853.65 = 604.55/x
  3. Step 3: Cross multiply
    1,902.98x = 2,853.65 × 604.55
  4. Step 4: Simplify right side
    1,902.98x = 1,725,156.82
  5. Step 5: Solve for x
    x = 1,725,156.82/1,902.98
  6. Step 6: Final answer
    x = 906.56

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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.