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Finding the Fourth Proportional to 3,104.52, 4,656.69 and 913.29

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Solution

The fourth proportional to 3,104.52, 4,656.69 and 913.29 is: 1,369.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.52 : 4,656.69 = 913.29 : x
  2. Step 2: Convert to fraction form
    3,104.52/4,656.69 = 913.29/x
  3. Step 3: Cross multiply
    3,104.52x = 4,656.69 × 913.29
  4. Step 4: Simplify right side
    3,104.52x = 4,252,903.84
  5. Step 5: Solve for x
    x = 4,252,903.84/3,104.52
  6. Step 6: Final answer
    x = 1,369.91

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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.