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Finding the Fourth Proportional to 2,561.07, 3,841.62 and 829.71

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Solution

The fourth proportional to 2,561.07, 3,841.62 and 829.71 is: 1,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.07 : 3,841.62 = 829.71 : x
  2. Step 2: Convert to fraction form
    2,561.07/3,841.62 = 829.71/x
  3. Step 3: Cross multiply
    2,561.07x = 3,841.62 × 829.71
  4. Step 4: Simplify right side
    2,561.07x = 3,187,430.53
  5. Step 5: Solve for x
    x = 3,187,430.53/2,561.07
  6. Step 6: Final answer
    x = 1,244.57

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