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Finding the Fourth Proportional to 2,954.27, 4,077.71 and 1,834.58

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Solution

The fourth proportional to 2,954.27, 4,077.71 and 1,834.58 is: 2,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.27 : 4,077.71 = 1,834.58 : x
  2. Step 2: Convert to fraction form
    2,954.27/4,077.71 = 1,834.58/x
  3. Step 3: Cross multiply
    2,954.27x = 4,077.71 × 1,834.58
  4. Step 4: Simplify right side
    2,954.27x = 7,480,893.11
  5. Step 5: Solve for x
    x = 7,480,893.11/2,954.27
  6. Step 6: Final answer
    x = 2,532.23

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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.