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Finding the Fourth Proportional to 2,722.16, 3,773.74 and 2,574.32

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Solution

The fourth proportional to 2,722.16, 3,773.74 and 2,574.32 is: 3,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.16 : 3,773.74 = 2,574.32 : x
  2. Step 2: Convert to fraction form
    2,722.16/3,773.74 = 2,574.32/x
  3. Step 3: Cross multiply
    2,722.16x = 3,773.74 × 2,574.32
  4. Step 4: Simplify right side
    2,722.16x = 9,714,814.36
  5. Step 5: Solve for x
    x = 9,714,814.36/2,722.16
  6. Step 6: Final answer
    x = 3,568.79

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.