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Finding the Fourth Proportional to 2,071.62, 3,107.70 and 1,097.19

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Solution

The fourth proportional to 2,071.62, 3,107.70 and 1,097.19 is: 1,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.62 : 3,107.70 = 1,097.19 : x
  2. Step 2: Convert to fraction form
    2,071.62/3,107.70 = 1,097.19/x
  3. Step 3: Cross multiply
    2,071.62x = 3,107.70 × 1,097.19
  4. Step 4: Simplify right side
    2,071.62x = 3,409,737.36
  5. Step 5: Solve for x
    x = 3,409,737.36/2,071.62
  6. Step 6: Final answer
    x = 1,645.93

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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.