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Finding the Fourth Proportional to 1,943.37, 2,914.52 and 847.49

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Solution

The fourth proportional to 1,943.37, 2,914.52 and 847.49 is: 1,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.37 : 2,914.52 = 847.49 : x
  2. Step 2: Convert to fraction form
    1,943.37/2,914.52 = 847.49/x
  3. Step 3: Cross multiply
    1,943.37x = 2,914.52 × 847.49
  4. Step 4: Simplify right side
    1,943.37x = 2,470,007.74
  5. Step 5: Solve for x
    x = 2,470,007.74/1,943.37
  6. Step 6: Final answer
    x = 1,270.99

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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.