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Finding the Fourth Proportional to 2,643.94, 3,961.79 and 999.59

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Solution

The fourth proportional to 2,643.94, 3,961.79 and 999.59 is: 1,497.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.94 : 3,961.79 = 999.59 : x
  2. Step 2: Convert to fraction form
    2,643.94/3,961.79 = 999.59/x
  3. Step 3: Cross multiply
    2,643.94x = 3,961.79 × 999.59
  4. Step 4: Simplify right side
    2,643.94x = 3,960,140.86
  5. Step 5: Solve for x
    x = 3,960,140.86/2,643.94
  6. Step 6: Final answer
    x = 1,497.82

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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.