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Finding the Fourth Proportional to 1,970.97, 2,723.85 and 1,616.34

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Solution

The fourth proportional to 1,970.97, 2,723.85 and 1,616.34 is: 2,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.97 : 2,723.85 = 1,616.34 : x
  2. Step 2: Convert to fraction form
    1,970.97/2,723.85 = 1,616.34/x
  3. Step 3: Cross multiply
    1,970.97x = 2,723.85 × 1,616.34
  4. Step 4: Simplify right side
    1,970.97x = 4,402,654.09
  5. Step 5: Solve for x
    x = 4,402,654.09/1,970.97
  6. Step 6: Final answer
    x = 2,233.76

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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.