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Finding the Fourth Proportional to 1,970.72, 2,723.51 and 1,616.09

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Solution

The fourth proportional to 1,970.72, 2,723.51 and 1,616.09 is: 2,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.72 : 2,723.51 = 1,616.09 : x
  2. Step 2: Convert to fraction form
    1,970.72/2,723.51 = 1,616.09/x
  3. Step 3: Cross multiply
    1,970.72x = 2,723.51 × 1,616.09
  4. Step 4: Simplify right side
    1,970.72x = 4,401,415.58
  5. Step 5: Solve for x
    x = 4,401,415.58/1,970.72
  6. Step 6: Final answer
    x = 2,233.41

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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.