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Finding the Fourth Proportional to 3,104.70, 4,656.69 and 913.38

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Solution

The fourth proportional to 3,104.70, 4,656.69 and 913.38 is: 1,369.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.70 : 4,656.69 = 913.38 : x
  2. Step 2: Convert to fraction form
    3,104.70/4,656.69 = 913.38/x
  3. Step 3: Cross multiply
    3,104.70x = 4,656.69 × 913.38
  4. Step 4: Simplify right side
    3,104.70x = 4,253,327.51
  5. Step 5: Solve for x
    x = 4,253,327.51/3,104.70
  6. Step 6: Final answer
    x = 1,369.96

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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.