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Finding the Fourth Proportional to 1,902.05, 2,852.96 and 515.36

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Solution

The fourth proportional to 1,902.05, 2,852.96 and 515.36 is: 773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.05 : 2,852.96 = 515.36 : x
  2. Step 2: Convert to fraction form
    1,902.05/2,852.96 = 515.36/x
  3. Step 3: Cross multiply
    1,902.05x = 2,852.96 × 515.36
  4. Step 4: Simplify right side
    1,902.05x = 1,470,301.47
  5. Step 5: Solve for x
    x = 1,470,301.47/1,902.05
  6. Step 6: Final answer
    x = 773.01

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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.