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Finding the Fourth Proportional to 2,089.67, 3,134.07 and 608.72

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Solution

The fourth proportional to 2,089.67, 3,134.07 and 608.72 is: 912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.67 : 3,134.07 = 608.72 : x
  2. Step 2: Convert to fraction form
    2,089.67/3,134.07 = 608.72/x
  3. Step 3: Cross multiply
    2,089.67x = 3,134.07 × 608.72
  4. Step 4: Simplify right side
    2,089.67x = 1,907,755.42
  5. Step 5: Solve for x
    x = 1,907,755.42/2,089.67
  6. Step 6: Final answer
    x = 912.95

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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.