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Finding the Fourth Proportional to 1,961.42, 2,707 and 1,175.46

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Solution

The fourth proportional to 1,961.42, 2,707 and 1,175.46 is: 1,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.42 : 2,707 = 1,175.46 : x
  2. Step 2: Convert to fraction form
    1,961.42/2,707 = 1,175.46/x
  3. Step 3: Cross multiply
    1,961.42x = 2,707 × 1,175.46
  4. Step 4: Simplify right side
    1,961.42x = 3,181,970.22
  5. Step 5: Solve for x
    x = 3,181,970.22/1,961.42
  6. Step 6: Final answer
    x = 1,622.28

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