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Finding the Fourth Proportional to 1,902.25, 2,853.35 and 515.72

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Solution

The fourth proportional to 1,902.25, 2,853.35 and 515.72 is: 773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.25 : 2,853.35 = 515.72 : x
  2. Step 2: Convert to fraction form
    1,902.25/2,853.35 = 515.72/x
  3. Step 3: Cross multiply
    1,902.25x = 2,853.35 × 515.72
  4. Step 4: Simplify right side
    1,902.25x = 1,471,515.40
  5. Step 5: Solve for x
    x = 1,471,515.40/1,902.25
  6. Step 6: Final answer
    x = 773.57

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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.