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Finding the Fourth Proportional to 4,561.67, 6,842.50 and 1,098.92

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Solution

The fourth proportional to 4,561.67, 6,842.50 and 1,098.92 is: 1,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.67 : 6,842.50 = 1,098.92 : x
  2. Step 2: Convert to fraction form
    4,561.67/6,842.50 = 1,098.92/x
  3. Step 3: Cross multiply
    4,561.67x = 6,842.50 × 1,098.92
  4. Step 4: Simplify right side
    4,561.67x = 7,519,339.06
  5. Step 5: Solve for x
    x = 7,519,339.06/4,561.67
  6. Step 6: Final answer
    x = 1,648.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.