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Finding the Fourth Proportional to 3,105.02, 4,658.32 and 913.75

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Solution

The fourth proportional to 3,105.02, 4,658.32 and 913.75 is: 1,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.02 : 4,658.32 = 913.75 : x
  2. Step 2: Convert to fraction form
    3,105.02/4,658.32 = 913.75/x
  3. Step 3: Cross multiply
    3,105.02x = 4,658.32 × 913.75
  4. Step 4: Simplify right side
    3,105.02x = 4,256,539.90
  5. Step 5: Solve for x
    x = 4,256,539.90/3,105.02
  6. Step 6: Final answer
    x = 1,370.86

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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.