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Finding the Fourth Proportional to 2,954.68, 4,077.72 and 1,696.12

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Solution

The fourth proportional to 2,954.68, 4,077.72 and 1,696.12 is: 2,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.68 : 4,077.72 = 1,696.12 : x
  2. Step 2: Convert to fraction form
    2,954.68/4,077.72 = 1,696.12/x
  3. Step 3: Cross multiply
    2,954.68x = 4,077.72 × 1,696.12
  4. Step 4: Simplify right side
    2,954.68x = 6,916,302.45
  5. Step 5: Solve for x
    x = 6,916,302.45/2,954.68
  6. Step 6: Final answer
    x = 2,340.80

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Why These Related Problems?

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