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Finding the Fourth Proportional to 2,650.79, 3,975.89 and 703.15

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Solution

The fourth proportional to 2,650.79, 3,975.89 and 703.15 is: 1,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.79 : 3,975.89 = 703.15 : x
  2. Step 2: Convert to fraction form
    2,650.79/3,975.89 = 703.15/x
  3. Step 3: Cross multiply
    2,650.79x = 3,975.89 × 703.15
  4. Step 4: Simplify right side
    2,650.79x = 2,795,633.60
  5. Step 5: Solve for x
    x = 2,795,633.60/2,650.79
  6. Step 6: Final answer
    x = 1,054.64

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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.