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Finding the Fourth Proportional to 2,633.56, 3,923.57 and 2,509.72

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Solution

The fourth proportional to 2,633.56, 3,923.57 and 2,509.72 is: 3,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.56 : 3,923.57 = 2,509.72 : x
  2. Step 2: Convert to fraction form
    2,633.56/3,923.57 = 2,509.72/x
  3. Step 3: Cross multiply
    2,633.56x = 3,923.57 × 2,509.72
  4. Step 4: Simplify right side
    2,633.56x = 9,847,062.10
  5. Step 5: Solve for x
    x = 9,847,062.10/2,633.56
  6. Step 6: Final answer
    x = 3,739.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.