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Finding the Fourth Proportional to 2,089.19, 3,134.40 and 628.46

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Solution

The fourth proportional to 2,089.19, 3,134.40 and 628.46 is: 942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.19 : 3,134.40 = 628.46 : x
  2. Step 2: Convert to fraction form
    2,089.19/3,134.40 = 628.46/x
  3. Step 3: Cross multiply
    2,089.19x = 3,134.40 × 628.46
  4. Step 4: Simplify right side
    2,089.19x = 1,969,838.75
  5. Step 5: Solve for x
    x = 1,969,838.75/2,089.19
  6. Step 6: Final answer
    x = 942.87

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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.