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Finding the Fourth Proportional to 1,998.47, 2,756.40 and 1,467.19

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Solution

The fourth proportional to 1,998.47, 2,756.40 and 1,467.19 is: 2,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.47 : 2,756.40 = 1,467.19 : x
  2. Step 2: Convert to fraction form
    1,998.47/2,756.40 = 1,467.19/x
  3. Step 3: Cross multiply
    1,998.47x = 2,756.40 × 1,467.19
  4. Step 4: Simplify right side
    1,998.47x = 4,044,165.09
  5. Step 5: Solve for x
    x = 4,044,165.09/1,998.47
  6. Step 6: Final answer
    x = 2,023.63

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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.