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Finding the Fourth Proportional to 3,093.91, 4,641.64 and 902.66

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Solution

The fourth proportional to 3,093.91, 4,641.64 and 902.66 is: 1,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.91 : 4,641.64 = 902.66 : x
  2. Step 2: Convert to fraction form
    3,093.91/4,641.64 = 902.66/x
  3. Step 3: Cross multiply
    3,093.91x = 4,641.64 × 902.66
  4. Step 4: Simplify right side
    3,093.91x = 4,189,797.30
  5. Step 5: Solve for x
    x = 4,189,797.30/3,093.91
  6. Step 6: Final answer
    x = 1,354.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.