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Finding the Fourth Proportional to 1,515.12, 2,090.85 and 852.09

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Solution

The fourth proportional to 1,515.12, 2,090.85 and 852.09 is: 1,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.12 : 2,090.85 = 852.09 : x
  2. Step 2: Convert to fraction form
    1,515.12/2,090.85 = 852.09/x
  3. Step 3: Cross multiply
    1,515.12x = 2,090.85 × 852.09
  4. Step 4: Simplify right side
    1,515.12x = 1,781,592.38
  5. Step 5: Solve for x
    x = 1,781,592.38/1,515.12
  6. Step 6: Final answer
    x = 1,175.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.