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Finding the Fourth Proportional to 1,534.22, 2,301.88 and 754.14

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Solution

The fourth proportional to 1,534.22, 2,301.88 and 754.14 is: 1,131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.22 : 2,301.88 = 754.14 : x
  2. Step 2: Convert to fraction form
    1,534.22/2,301.88 = 754.14/x
  3. Step 3: Cross multiply
    1,534.22x = 2,301.88 × 754.14
  4. Step 4: Simplify right side
    1,534.22x = 1,735,928.27
  5. Step 5: Solve for x
    x = 1,735,928.27/1,534.22
  6. Step 6: Final answer
    x = 1,131.48

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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.