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Finding the Fourth Proportional to 1,902.64, 2,853.73 and 515.89

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Solution

The fourth proportional to 1,902.64, 2,853.73 and 515.89 is: 773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.64 : 2,853.73 = 515.89 : x
  2. Step 2: Convert to fraction form
    1,902.64/2,853.73 = 515.89/x
  3. Step 3: Cross multiply
    1,902.64x = 2,853.73 × 515.89
  4. Step 4: Simplify right side
    1,902.64x = 1,472,202.35
  5. Step 5: Solve for x
    x = 1,472,202.35/1,902.64
  6. Step 6: Final answer
    x = 773.77

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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.