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Finding the Fourth Proportional to 2,650.94, 3,976.46 and 703.16

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Solution

The fourth proportional to 2,650.94, 3,976.46 and 703.16 is: 1,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.94 : 3,976.46 = 703.16 : x
  2. Step 2: Convert to fraction form
    2,650.94/3,976.46 = 703.16/x
  3. Step 3: Cross multiply
    2,650.94x = 3,976.46 × 703.16
  4. Step 4: Simplify right side
    2,650.94x = 2,796,081.76
  5. Step 5: Solve for x
    x = 2,796,081.76/2,650.94
  6. Step 6: Final answer
    x = 1,054.75

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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.