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Finding the Fourth Proportional to 2,137.80, 3,207.78 and 1,041.96

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Solution

The fourth proportional to 2,137.80, 3,207.78 and 1,041.96 is: 1,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.80 : 3,207.78 = 1,041.96 : x
  2. Step 2: Convert to fraction form
    2,137.80/3,207.78 = 1,041.96/x
  3. Step 3: Cross multiply
    2,137.80x = 3,207.78 × 1,041.96
  4. Step 4: Simplify right side
    2,137.80x = 3,342,378.45
  5. Step 5: Solve for x
    x = 3,342,378.45/2,137.80
  6. Step 6: Final answer
    x = 1,563.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.