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Finding the Fourth Proportional to 2,639.41, 3,642.24 and 1,460.41

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Solution

The fourth proportional to 2,639.41, 3,642.24 and 1,460.41 is: 2,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.41 : 3,642.24 = 1,460.41 : x
  2. Step 2: Convert to fraction form
    2,639.41/3,642.24 = 1,460.41/x
  3. Step 3: Cross multiply
    2,639.41x = 3,642.24 × 1,460.41
  4. Step 4: Simplify right side
    2,639.41x = 5,319,163.72
  5. Step 5: Solve for x
    x = 5,319,163.72/2,639.41
  6. Step 6: Final answer
    x = 2,015.29

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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.