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Finding the Fourth Proportional to 1,576.22, 2,174.41 and 1,224.47

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Solution

The fourth proportional to 1,576.22, 2,174.41 and 1,224.47 is: 1,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.22 : 2,174.41 = 1,224.47 : x
  2. Step 2: Convert to fraction form
    1,576.22/2,174.41 = 1,224.47/x
  3. Step 3: Cross multiply
    1,576.22x = 2,174.41 × 1,224.47
  4. Step 4: Simplify right side
    1,576.22x = 2,662,506.78
  5. Step 5: Solve for x
    x = 2,662,506.78/1,576.22
  6. Step 6: Final answer
    x = 1,689.18

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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.