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Finding the Fourth Proportional to 2,100.74, 3,150.02 and 914.56

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Solution

The fourth proportional to 2,100.74, 3,150.02 and 914.56 is: 1,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.74 : 3,150.02 = 914.56 : x
  2. Step 2: Convert to fraction form
    2,100.74/3,150.02 = 914.56/x
  3. Step 3: Cross multiply
    2,100.74x = 3,150.02 × 914.56
  4. Step 4: Simplify right side
    2,100.74x = 2,880,876.70
  5. Step 5: Solve for x
    x = 2,880,876.70/2,100.74
  6. Step 6: Final answer
    x = 1,371.37

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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.