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Finding the Fourth Proportional to 2,969.54, 4,097.36 and 1,790.68

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Solution

The fourth proportional to 2,969.54, 4,097.36 and 1,790.68 is: 2,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.54 : 4,097.36 = 1,790.68 : x
  2. Step 2: Convert to fraction form
    2,969.54/4,097.36 = 1,790.68/x
  3. Step 3: Cross multiply
    2,969.54x = 4,097.36 × 1,790.68
  4. Step 4: Simplify right side
    2,969.54x = 7,337,060.60
  5. Step 5: Solve for x
    x = 7,337,060.60/2,969.54
  6. Step 6: Final answer
    x = 2,470.77

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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.