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Finding the Fourth Proportional to 2,658.86, 3,669.41 and 1,761.05

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Solution

The fourth proportional to 2,658.86, 3,669.41 and 1,761.05 is: 2,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.86 : 3,669.41 = 1,761.05 : x
  2. Step 2: Convert to fraction form
    2,658.86/3,669.41 = 1,761.05/x
  3. Step 3: Cross multiply
    2,658.86x = 3,669.41 × 1,761.05
  4. Step 4: Simplify right side
    2,658.86x = 6,462,028.06
  5. Step 5: Solve for x
    x = 6,462,028.06/2,658.86
  6. Step 6: Final answer
    x = 2,430.38

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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.