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Finding the Fourth Proportional to 2,137.51, 3,200.82 and 1,809.46

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Solution

The fourth proportional to 2,137.51, 3,200.82 and 1,809.46 is: 2,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.51 : 3,200.82 = 1,809.46 : x
  2. Step 2: Convert to fraction form
    2,137.51/3,200.82 = 1,809.46/x
  3. Step 3: Cross multiply
    2,137.51x = 3,200.82 × 1,809.46
  4. Step 4: Simplify right side
    2,137.51x = 5,791,755.76
  5. Step 5: Solve for x
    x = 5,791,755.76/2,137.51
  6. Step 6: Final answer
    x = 2,709.58

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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.