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Finding the Fourth Proportional to 1,958.40, 2,701.04 and 1,172.24

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Solution

The fourth proportional to 1,958.40, 2,701.04 and 1,172.24 is: 1,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.40 : 2,701.04 = 1,172.24 : x
  2. Step 2: Convert to fraction form
    1,958.40/2,701.04 = 1,172.24/x
  3. Step 3: Cross multiply
    1,958.40x = 2,701.04 × 1,172.24
  4. Step 4: Simplify right side
    1,958.40x = 3,166,267.13
  5. Step 5: Solve for x
    x = 3,166,267.13/1,958.40
  6. Step 6: Final answer
    x = 1,616.76

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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.