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Finding the Fourth Proportional to 2,732.93, 3,771.43 and 1,490.93

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Solution

The fourth proportional to 2,732.93, 3,771.43 and 1,490.93 is: 2,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.93 : 3,771.43 = 1,490.93 : x
  2. Step 2: Convert to fraction form
    2,732.93/3,771.43 = 1,490.93/x
  3. Step 3: Cross multiply
    2,732.93x = 3,771.43 × 1,490.93
  4. Step 4: Simplify right side
    2,732.93x = 5,622,938.13
  5. Step 5: Solve for x
    x = 5,622,938.13/2,732.93
  6. Step 6: Final answer
    x = 2,057.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.