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Finding the Fourth Proportional to 2,641.01, 3,961.71 and 1,341.77

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Solution

The fourth proportional to 2,641.01, 3,961.71 and 1,341.77 is: 2,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.01 : 3,961.71 = 1,341.77 : x
  2. Step 2: Convert to fraction form
    2,641.01/3,961.71 = 1,341.77/x
  3. Step 3: Cross multiply
    2,641.01x = 3,961.71 × 1,341.77
  4. Step 4: Simplify right side
    2,641.01x = 5,315,683.82
  5. Step 5: Solve for x
    x = 5,315,683.82/2,641.01
  6. Step 6: Final answer
    x = 2,012.75

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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.