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Finding the Fourth Proportional to 2,969.07, 4,097.70 and 1,790.79

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Solution

The fourth proportional to 2,969.07, 4,097.70 and 1,790.79 is: 2,471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.07 : 4,097.70 = 1,790.79 : x
  2. Step 2: Convert to fraction form
    2,969.07/4,097.70 = 1,790.79/x
  3. Step 3: Cross multiply
    2,969.07x = 4,097.70 × 1,790.79
  4. Step 4: Simplify right side
    2,969.07x = 7,338,120.18
  5. Step 5: Solve for x
    x = 7,338,120.18/2,969.07
  6. Step 6: Final answer
    x = 2,471.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.