Home / 1,534.11-2,301.98-668.49

Finding the Fourth Proportional to 1,534.11, 2,301.98 and 668.49

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Solution

The fourth proportional to 1,534.11, 2,301.98 and 668.49 is: 1,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.11 : 2,301.98 = 668.49 : x
  2. Step 2: Convert to fraction form
    1,534.11/2,301.98 = 668.49/x
  3. Step 3: Cross multiply
    1,534.11x = 2,301.98 × 668.49
  4. Step 4: Simplify right side
    1,534.11x = 1,538,847.27
  5. Step 5: Solve for x
    x = 1,538,847.27/1,534.11
  6. Step 6: Final answer
    x = 1,003.09

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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.