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Finding the Fourth Proportional to 2,639.25, 3,642.17 and 1,460.50

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Solution

The fourth proportional to 2,639.25, 3,642.17 and 1,460.50 is: 2,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.25 : 3,642.17 = 1,460.50 : x
  2. Step 2: Convert to fraction form
    2,639.25/3,642.17 = 1,460.50/x
  3. Step 3: Cross multiply
    2,639.25x = 3,642.17 × 1,460.50
  4. Step 4: Simplify right side
    2,639.25x = 5,319,372.88
  5. Step 5: Solve for x
    x = 5,319,372.88/2,639.25
  6. Step 6: Final answer
    x = 2,015.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.