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Finding the Fourth Proportional to 2,639.72, 3,642.96 and 1,460.76

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Solution

The fourth proportional to 2,639.72, 3,642.96 and 1,460.76 is: 2,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.72 : 3,642.96 = 1,460.76 : x
  2. Step 2: Convert to fraction form
    2,639.72/3,642.96 = 1,460.76/x
  3. Step 3: Cross multiply
    2,639.72x = 3,642.96 × 1,460.76
  4. Step 4: Simplify right side
    2,639.72x = 5,321,490.25
  5. Step 5: Solve for x
    x = 5,321,490.25/2,639.72
  6. Step 6: Final answer
    x = 2,015.93

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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.