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Finding the Fourth Proportional to 2,009.50, 2,994.53 and 1,943.44

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Solution

The fourth proportional to 2,009.50, 2,994.53 and 1,943.44 is: 2,896.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.50 : 2,994.53 = 1,943.44 : x
  2. Step 2: Convert to fraction form
    2,009.50/2,994.53 = 1,943.44/x
  3. Step 3: Cross multiply
    2,009.50x = 2,994.53 × 1,943.44
  4. Step 4: Simplify right side
    2,009.50x = 5,819,672.18
  5. Step 5: Solve for x
    x = 5,819,672.18/2,009.50
  6. Step 6: Final answer
    x = 2,896.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.