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Finding the Fourth Proportional to 2,906.75, 4,360.13 and 1,175.38

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Solution

The fourth proportional to 2,906.75, 4,360.13 and 1,175.38 is: 1,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.75 : 4,360.13 = 1,175.38 : x
  2. Step 2: Convert to fraction form
    2,906.75/4,360.13 = 1,175.38/x
  3. Step 3: Cross multiply
    2,906.75x = 4,360.13 × 1,175.38
  4. Step 4: Simplify right side
    2,906.75x = 5,124,809.60
  5. Step 5: Solve for x
    x = 5,124,809.60/2,906.75
  6. Step 6: Final answer
    x = 1,763.07

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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.