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Finding the Fourth Proportional to 2,349.05, 3,240.61 and 1,650.83

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Solution

The fourth proportional to 2,349.05, 3,240.61 and 1,650.83 is: 2,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.05 : 3,240.61 = 1,650.83 : x
  2. Step 2: Convert to fraction form
    2,349.05/3,240.61 = 1,650.83/x
  3. Step 3: Cross multiply
    2,349.05x = 3,240.61 × 1,650.83
  4. Step 4: Simplify right side
    2,349.05x = 5,349,675.88
  5. Step 5: Solve for x
    x = 5,349,675.88/2,349.05
  6. Step 6: Final answer
    x = 2,277.38

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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.