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Finding the Fourth Proportional to 1,538.17, 2,306.04 and 613.69

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Solution

The fourth proportional to 1,538.17, 2,306.04 and 613.69 is: 920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.17 : 2,306.04 = 613.69 : x
  2. Step 2: Convert to fraction form
    1,538.17/2,306.04 = 613.69/x
  3. Step 3: Cross multiply
    1,538.17x = 2,306.04 × 613.69
  4. Step 4: Simplify right side
    1,538.17x = 1,415,193.69
  5. Step 5: Solve for x
    x = 1,415,193.69/1,538.17
  6. Step 6: Final answer
    x = 920.05

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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.