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Finding the Fourth Proportional to 1,969.82, 2,954.88 and 583.05

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Solution

The fourth proportional to 1,969.82, 2,954.88 and 583.05 is: 874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.82 : 2,954.88 = 583.05 : x
  2. Step 2: Convert to fraction form
    1,969.82/2,954.88 = 583.05/x
  3. Step 3: Cross multiply
    1,969.82x = 2,954.88 × 583.05
  4. Step 4: Simplify right side
    1,969.82x = 1,722,837.24
  5. Step 5: Solve for x
    x = 1,722,837.24/1,969.82
  6. Step 6: Final answer
    x = 874.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.