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Finding the Fourth Proportional to 1,998.28, 2,977.34 and 1,886.50

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Solution

The fourth proportional to 1,998.28, 2,977.34 and 1,886.50 is: 2,810.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.28 : 2,977.34 = 1,886.50 : x
  2. Step 2: Convert to fraction form
    1,998.28/2,977.34 = 1,886.50/x
  3. Step 3: Cross multiply
    1,998.28x = 2,977.34 × 1,886.50
  4. Step 4: Simplify right side
    1,998.28x = 5,616,751.91
  5. Step 5: Solve for x
    x = 5,616,751.91/1,998.28
  6. Step 6: Final answer
    x = 2,810.79

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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.