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Finding the Fourth Proportional to 2,089.66, 3,134.74 and 628.60

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Solution

The fourth proportional to 2,089.66, 3,134.74 and 628.60 is: 942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.66 : 3,134.74 = 628.60 : x
  2. Step 2: Convert to fraction form
    2,089.66/3,134.74 = 628.60/x
  3. Step 3: Cross multiply
    2,089.66x = 3,134.74 × 628.60
  4. Step 4: Simplify right side
    2,089.66x = 1,970,497.56
  5. Step 5: Solve for x
    x = 1,970,497.56/2,089.66
  6. Step 6: Final answer
    x = 942.98

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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.