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Finding the Fourth Proportional to 3,104.24, 4,655.68 and 913.12

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Solution

The fourth proportional to 3,104.24, 4,655.68 and 913.12 is: 1,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.24 : 4,655.68 = 913.12 : x
  2. Step 2: Convert to fraction form
    3,104.24/4,655.68 = 913.12/x
  3. Step 3: Cross multiply
    3,104.24x = 4,655.68 × 913.12
  4. Step 4: Simplify right side
    3,104.24x = 4,251,194.52
  5. Step 5: Solve for x
    x = 4,251,194.52/3,104.24
  6. Step 6: Final answer
    x = 1,369.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.