Home / 2,564.16-3,824.94-2,272.56

Finding the Fourth Proportional to 2,564.16, 3,824.94 and 2,272.56

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Solution

The fourth proportional to 2,564.16, 3,824.94 and 2,272.56 is: 3,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.16 : 3,824.94 = 2,272.56 : x
  2. Step 2: Convert to fraction form
    2,564.16/3,824.94 = 2,272.56/x
  3. Step 3: Cross multiply
    2,564.16x = 3,824.94 × 2,272.56
  4. Step 4: Simplify right side
    2,564.16x = 8,692,405.65
  5. Step 5: Solve for x
    x = 8,692,405.65/2,564.16
  6. Step 6: Final answer
    x = 3,389.96

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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.