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Finding the Fourth Proportional to 3,073.56, 4,609.52 and 882.28

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Solution

The fourth proportional to 3,073.56, 4,609.52 and 882.28 is: 1,323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.56 : 4,609.52 = 882.28 : x
  2. Step 2: Convert to fraction form
    3,073.56/4,609.52 = 882.28/x
  3. Step 3: Cross multiply
    3,073.56x = 4,609.52 × 882.28
  4. Step 4: Simplify right side
    3,073.56x = 4,066,887.31
  5. Step 5: Solve for x
    x = 4,066,887.31/3,073.56
  6. Step 6: Final answer
    x = 1,323.18

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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.