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Finding the Fourth Proportional to 2,036.72, 3,055.20 and 882.56

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Solution

The fourth proportional to 2,036.72, 3,055.20 and 882.56 is: 1,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.72 : 3,055.20 = 882.56 : x
  2. Step 2: Convert to fraction form
    2,036.72/3,055.20 = 882.56/x
  3. Step 3: Cross multiply
    2,036.72x = 3,055.20 × 882.56
  4. Step 4: Simplify right side
    2,036.72x = 2,696,397.31
  5. Step 5: Solve for x
    x = 2,696,397.31/2,036.72
  6. Step 6: Final answer
    x = 1,323.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.