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Finding the Fourth Proportional to 1,902.12, 2,852.91 and 515.57

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Solution

The fourth proportional to 1,902.12, 2,852.91 and 515.57 is: 773.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.12 : 2,852.91 = 515.57 : x
  2. Step 2: Convert to fraction form
    1,902.12/2,852.91 = 515.57/x
  3. Step 3: Cross multiply
    1,902.12x = 2,852.91 × 515.57
  4. Step 4: Simplify right side
    1,902.12x = 1,470,874.81
  5. Step 5: Solve for x
    x = 1,470,874.81/1,902.12
  6. Step 6: Final answer
    x = 773.28

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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.