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Finding the Fourth Proportional to 3,104.33, 4,656.29 and 912.87

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Solution

The fourth proportional to 3,104.33, 4,656.29 and 912.87 is: 1,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.33 : 4,656.29 = 912.87 : x
  2. Step 2: Convert to fraction form
    3,104.33/4,656.29 = 912.87/x
  3. Step 3: Cross multiply
    3,104.33x = 4,656.29 × 912.87
  4. Step 4: Simplify right side
    3,104.33x = 4,250,582.89
  5. Step 5: Solve for x
    x = 4,250,582.89/3,104.33
  6. Step 6: Final answer
    x = 1,369.25

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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.