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Finding the Fourth Proportional to 3,104.64, 4,656.69 and 913.26

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Solution

The fourth proportional to 3,104.64, 4,656.69 and 913.26 is: 1,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.64 : 4,656.69 = 913.26 : x
  2. Step 2: Convert to fraction form
    3,104.64/4,656.69 = 913.26/x
  3. Step 3: Cross multiply
    3,104.64x = 4,656.69 × 913.26
  4. Step 4: Simplify right side
    3,104.64x = 4,252,768.71
  5. Step 5: Solve for x
    x = 4,252,768.71/3,104.64
  6. Step 6: Final answer
    x = 1,369.81

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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.