Home / 2,233.14-3,347-1,607.64

Finding the Fourth Proportional to 2,233.14, 3,347 and 1,607.64

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Solution

The fourth proportional to 2,233.14, 3,347 and 1,607.64 is: 2,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.14 : 3,347 = 1,607.64 : x
  2. Step 2: Convert to fraction form
    2,233.14/3,347 = 1,607.64/x
  3. Step 3: Cross multiply
    2,233.14x = 3,347 × 1,607.64
  4. Step 4: Simplify right side
    2,233.14x = 5,380,771.08
  5. Step 5: Solve for x
    x = 5,380,771.08/2,233.14
  6. Step 6: Final answer
    x = 2,409.51

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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.