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Finding the Fourth Proportional to 1,419.82, 1,960.59 and 955.42

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Solution

The fourth proportional to 1,419.82, 1,960.59 and 955.42 is: 1,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.82 : 1,960.59 = 955.42 : x
  2. Step 2: Convert to fraction form
    1,419.82/1,960.59 = 955.42/x
  3. Step 3: Cross multiply
    1,419.82x = 1,960.59 × 955.42
  4. Step 4: Simplify right side
    1,419.82x = 1,873,186.90
  5. Step 5: Solve for x
    x = 1,873,186.90/1,419.82
  6. Step 6: Final answer
    x = 1,319.31

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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.