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Finding the Fourth Proportional to 1,954.38, 2,694.74 and 1,580.20

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Solution

The fourth proportional to 1,954.38, 2,694.74 and 1,580.20 is: 2,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.38 : 2,694.74 = 1,580.20 : x
  2. Step 2: Convert to fraction form
    1,954.38/2,694.74 = 1,580.20/x
  3. Step 3: Cross multiply
    1,954.38x = 2,694.74 × 1,580.20
  4. Step 4: Simplify right side
    1,954.38x = 4,258,225.36
  5. Step 5: Solve for x
    x = 4,258,225.36/1,954.38
  6. Step 6: Final answer
    x = 2,178.81

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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.