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Finding the Fourth Proportional to 3,212.96, 4,434 and 1,970.72

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Solution

The fourth proportional to 3,212.96, 4,434 and 1,970.72 is: 2,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.96 : 4,434 = 1,970.72 : x
  2. Step 2: Convert to fraction form
    3,212.96/4,434 = 1,970.72/x
  3. Step 3: Cross multiply
    3,212.96x = 4,434 × 1,970.72
  4. Step 4: Simplify right side
    3,212.96x = 8,738,172.48
  5. Step 5: Solve for x
    x = 8,738,172.48/3,212.96
  6. Step 6: Final answer
    x = 2,719.66

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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.