Home / 2,284.16-3,424.17-1,462.64

Finding the Fourth Proportional to 2,284.16, 3,424.17 and 1,462.64

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Solution

The fourth proportional to 2,284.16, 3,424.17 and 1,462.64 is: 2,192.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.16 : 3,424.17 = 1,462.64 : x
  2. Step 2: Convert to fraction form
    2,284.16/3,424.17 = 1,462.64/x
  3. Step 3: Cross multiply
    2,284.16x = 3,424.17 × 1,462.64
  4. Step 4: Simplify right side
    2,284.16x = 5,008,328.01
  5. Step 5: Solve for x
    x = 5,008,328.01/2,284.16
  6. Step 6: Final answer
    x = 2,192.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.