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Finding the Fourth Proportional to 1,796.24, 2,696.04 and 975.20

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Solution

The fourth proportional to 1,796.24, 2,696.04 and 975.20 is: 1,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.24 : 2,696.04 = 975.20 : x
  2. Step 2: Convert to fraction form
    1,796.24/2,696.04 = 975.20/x
  3. Step 3: Cross multiply
    1,796.24x = 2,696.04 × 975.20
  4. Step 4: Simplify right side
    1,796.24x = 2,629,178.21
  5. Step 5: Solve for x
    x = 2,629,178.21/1,796.24
  6. Step 6: Final answer
    x = 1,463.71

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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.