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Finding the Fourth Proportional to 2,989.05, 4,122.14 and 1,869.63

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Solution

The fourth proportional to 2,989.05, 4,122.14 and 1,869.63 is: 2,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.05 : 4,122.14 = 1,869.63 : x
  2. Step 2: Convert to fraction form
    2,989.05/4,122.14 = 1,869.63/x
  3. Step 3: Cross multiply
    2,989.05x = 4,122.14 × 1,869.63
  4. Step 4: Simplify right side
    2,989.05x = 7,706,867.26
  5. Step 5: Solve for x
    x = 7,706,867.26/2,989.05
  6. Step 6: Final answer
    x = 2,578.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.