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Finding the Fourth Proportional to 1,998.41, 2,756.88 and 1,838.48

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Solution

The fourth proportional to 1,998.41, 2,756.88 and 1,838.48 is: 2,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.41 : 2,756.88 = 1,838.48 : x
  2. Step 2: Convert to fraction form
    1,998.41/2,756.88 = 1,838.48/x
  3. Step 3: Cross multiply
    1,998.41x = 2,756.88 × 1,838.48
  4. Step 4: Simplify right side
    1,998.41x = 5,068,454.96
  5. Step 5: Solve for x
    x = 5,068,454.96/1,998.41
  6. Step 6: Final answer
    x = 2,536.25

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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.