Home / 1,467.84-2,198.40-1,322.16

Finding the Fourth Proportional to 1,467.84, 2,198.40 and 1,322.16

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Solution

The fourth proportional to 1,467.84, 2,198.40 and 1,322.16 is: 1,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.84 : 2,198.40 = 1,322.16 : x
  2. Step 2: Convert to fraction form
    1,467.84/2,198.40 = 1,322.16/x
  3. Step 3: Cross multiply
    1,467.84x = 2,198.40 × 1,322.16
  4. Step 4: Simplify right side
    1,467.84x = 2,906,636.54
  5. Step 5: Solve for x
    x = 2,906,636.54/1,467.84
  6. Step 6: Final answer
    x = 1,980.21

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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.