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Finding the Fourth Proportional to 2,795, 4,194.44 and 971

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Solution

The fourth proportional to 2,795, 4,194.44 and 971 is: 1,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795 : 4,194.44 = 971 : x
  2. Step 2: Convert to fraction form
    2,795/4,194.44 = 971/x
  3. Step 3: Cross multiply
    2,795x = 4,194.44 × 971
  4. Step 4: Simplify right side
    2,795x = 4,072,801.24
  5. Step 5: Solve for x
    x = 4,072,801.24/2,795
  6. Step 6: Final answer
    x = 1,457.17

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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.