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Finding the Fourth Proportional to 2,969.16, 4,097.94 and 1,790.32

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Solution

The fourth proportional to 2,969.16, 4,097.94 and 1,790.32 is: 2,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.16 : 4,097.94 = 1,790.32 : x
  2. Step 2: Convert to fraction form
    2,969.16/4,097.94 = 1,790.32/x
  3. Step 3: Cross multiply
    2,969.16x = 4,097.94 × 1,790.32
  4. Step 4: Simplify right side
    2,969.16x = 7,336,623.94
  5. Step 5: Solve for x
    x = 7,336,623.94/2,969.16
  6. Step 6: Final answer
    x = 2,470.94

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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.