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Finding the Fourth Proportional to 1,471.96, 2,031.56 and 882.52

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Solution

The fourth proportional to 1,471.96, 2,031.56 and 882.52 is: 1,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.96 : 2,031.56 = 882.52 : x
  2. Step 2: Convert to fraction form
    1,471.96/2,031.56 = 882.52/x
  3. Step 3: Cross multiply
    1,471.96x = 2,031.56 × 882.52
  4. Step 4: Simplify right side
    1,471.96x = 1,792,892.33
  5. Step 5: Solve for x
    x = 1,792,892.33/1,471.96
  6. Step 6: Final answer
    x = 1,218.03

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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.