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Finding the Fourth Proportional to 2,561.63, 3,841.22 and 1,521.77

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Solution

The fourth proportional to 2,561.63, 3,841.22 and 1,521.77 is: 2,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.63 : 3,841.22 = 1,521.77 : x
  2. Step 2: Convert to fraction form
    2,561.63/3,841.22 = 1,521.77/x
  3. Step 3: Cross multiply
    2,561.63x = 3,841.22 × 1,521.77
  4. Step 4: Simplify right side
    2,561.63x = 5,845,426.54
  5. Step 5: Solve for x
    x = 5,845,426.54/2,561.63
  6. Step 6: Final answer
    x = 2,281.92

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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.