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Finding the Fourth Proportional to 2,969.15, 4,098.74 and 2,134.04

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Solution

The fourth proportional to 2,969.15, 4,098.74 and 2,134.04 is: 2,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.15 : 4,098.74 = 2,134.04 : x
  2. Step 2: Convert to fraction form
    2,969.15/4,098.74 = 2,134.04/x
  3. Step 3: Cross multiply
    2,969.15x = 4,098.74 × 2,134.04
  4. Step 4: Simplify right side
    2,969.15x = 8,746,843.95
  5. Step 5: Solve for x
    x = 8,746,843.95/2,969.15
  6. Step 6: Final answer
    x = 2,945.91

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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.