Home / 2,509.28-3,464.24-2,232.48

Finding the Fourth Proportional to 2,509.28, 3,464.24 and 2,232.48

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Solution

The fourth proportional to 2,509.28, 3,464.24 and 2,232.48 is: 3,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.28 : 3,464.24 = 2,232.48 : x
  2. Step 2: Convert to fraction form
    2,509.28/3,464.24 = 2,232.48/x
  3. Step 3: Cross multiply
    2,509.28x = 3,464.24 × 2,232.48
  4. Step 4: Simplify right side
    2,509.28x = 7,733,846.52
  5. Step 5: Solve for x
    x = 7,733,846.52/2,509.28
  6. Step 6: Final answer
    x = 3,082.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.