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Finding the Fourth Proportional to 1,512.07, 2,086.91 and 882.66

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Solution

The fourth proportional to 1,512.07, 2,086.91 and 882.66 is: 1,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.07 : 2,086.91 = 882.66 : x
  2. Step 2: Convert to fraction form
    1,512.07/2,086.91 = 882.66/x
  3. Step 3: Cross multiply
    1,512.07x = 2,086.91 × 882.66
  4. Step 4: Simplify right side
    1,512.07x = 1,842,034.26
  5. Step 5: Solve for x
    x = 1,842,034.26/1,512.07
  6. Step 6: Final answer
    x = 1,218.22

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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.