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Finding the Fourth Proportional to 1,538.97, 2,308.50 and 615.03

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Solution

The fourth proportional to 1,538.97, 2,308.50 and 615.03 is: 922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.97 : 2,308.50 = 615.03 : x
  2. Step 2: Convert to fraction form
    1,538.97/2,308.50 = 615.03/x
  3. Step 3: Cross multiply
    1,538.97x = 2,308.50 × 615.03
  4. Step 4: Simplify right side
    1,538.97x = 1,419,796.76
  5. Step 5: Solve for x
    x = 1,419,796.76/1,538.97
  6. Step 6: Final answer
    x = 922.56

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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.