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Finding the Fourth Proportional to 2,138.76, 3,206.70 and 1,097.46

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Solution

The fourth proportional to 2,138.76, 3,206.70 and 1,097.46 is: 1,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.76 : 3,206.70 = 1,097.46 : x
  2. Step 2: Convert to fraction form
    2,138.76/3,206.70 = 1,097.46/x
  3. Step 3: Cross multiply
    2,138.76x = 3,206.70 × 1,097.46
  4. Step 4: Simplify right side
    2,138.76x = 3,519,224.98
  5. Step 5: Solve for x
    x = 3,519,224.98/2,138.76
  6. Step 6: Final answer
    x = 1,645.45

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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.