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Finding the Fourth Proportional to 2,945.22, 4,419.45 and 1,215.06

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Solution

The fourth proportional to 2,945.22, 4,419.45 and 1,215.06 is: 1,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.22 : 4,419.45 = 1,215.06 : x
  2. Step 2: Convert to fraction form
    2,945.22/4,419.45 = 1,215.06/x
  3. Step 3: Cross multiply
    2,945.22x = 4,419.45 × 1,215.06
  4. Step 4: Simplify right side
    2,945.22x = 5,369,896.92
  5. Step 5: Solve for x
    x = 5,369,896.92/2,945.22
  6. Step 6: Final answer
    x = 1,823.26

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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.