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Finding the Fourth Proportional to 2,151.47, 3,219.05 and 1,274.45

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Solution

The fourth proportional to 2,151.47, 3,219.05 and 1,274.45 is: 1,906.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.47 : 3,219.05 = 1,274.45 : x
  2. Step 2: Convert to fraction form
    2,151.47/3,219.05 = 1,274.45/x
  3. Step 3: Cross multiply
    2,151.47x = 3,219.05 × 1,274.45
  4. Step 4: Simplify right side
    2,151.47x = 4,102,505.36
  5. Step 5: Solve for x
    x = 4,102,505.36/2,151.47
  6. Step 6: Final answer
    x = 1,906.84

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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.