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Finding the Fourth Proportional to 2,937.09, 4,053.14 and 1,610.79

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Solution

The fourth proportional to 2,937.09, 4,053.14 and 1,610.79 is: 2,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.09 : 4,053.14 = 1,610.79 : x
  2. Step 2: Convert to fraction form
    2,937.09/4,053.14 = 1,610.79/x
  3. Step 3: Cross multiply
    2,937.09x = 4,053.14 × 1,610.79
  4. Step 4: Simplify right side
    2,937.09x = 6,528,757.38
  5. Step 5: Solve for x
    x = 6,528,757.38/2,937.09
  6. Step 6: Final answer
    x = 2,222.87

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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.