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Finding the Fourth Proportional to 2,135.06, 2,945.11 and 1,576.97

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Solution

The fourth proportional to 2,135.06, 2,945.11 and 1,576.97 is: 2,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.06 : 2,945.11 = 1,576.97 : x
  2. Step 2: Convert to fraction form
    2,135.06/2,945.11 = 1,576.97/x
  3. Step 3: Cross multiply
    2,135.06x = 2,945.11 × 1,576.97
  4. Step 4: Simplify right side
    2,135.06x = 4,644,345.45
  5. Step 5: Solve for x
    x = 4,644,345.45/2,135.06
  6. Step 6: Final answer
    x = 2,175.28

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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.