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Finding the Fourth Proportional to 1,515.22, 2,091.03 and 852.07

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Solution

The fourth proportional to 1,515.22, 2,091.03 and 852.07 is: 1,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.22 : 2,091.03 = 852.07 : x
  2. Step 2: Convert to fraction form
    1,515.22/2,091.03 = 852.07/x
  3. Step 3: Cross multiply
    1,515.22x = 2,091.03 × 852.07
  4. Step 4: Simplify right side
    1,515.22x = 1,781,693.48
  5. Step 5: Solve for x
    x = 1,781,693.48/1,515.22
  6. Step 6: Final answer
    x = 1,175.87

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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.