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Finding the Fourth Proportional to 1,515.21, 2,090.93 and 852.09

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Solution

The fourth proportional to 1,515.21, 2,090.93 and 852.09 is: 1,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.21 : 2,090.93 = 852.09 : x
  2. Step 2: Convert to fraction form
    1,515.21/2,090.93 = 852.09/x
  3. Step 3: Cross multiply
    1,515.21x = 2,090.93 × 852.09
  4. Step 4: Simplify right side
    1,515.21x = 1,781,648.44
  5. Step 5: Solve for x
    x = 1,781,648.44/1,515.21
  6. Step 6: Final answer
    x = 1,175.85

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