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Finding the Fourth Proportional to 3,104.49, 4,655.82 and 913.17

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Solution

The fourth proportional to 3,104.49, 4,655.82 and 913.17 is: 1,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.49 : 4,655.82 = 913.17 : x
  2. Step 2: Convert to fraction form
    3,104.49/4,655.82 = 913.17/x
  3. Step 3: Cross multiply
    3,104.49x = 4,655.82 × 913.17
  4. Step 4: Simplify right side
    3,104.49x = 4,251,555.15
  5. Step 5: Solve for x
    x = 4,251,555.15/3,104.49
  6. Step 6: Final answer
    x = 1,369.49

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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.