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Finding the Fourth Proportional to 3,211.76, 4,433.88 and 1,970.48

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Solution

The fourth proportional to 3,211.76, 4,433.88 and 1,970.48 is: 2,720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.76 : 4,433.88 = 1,970.48 : x
  2. Step 2: Convert to fraction form
    3,211.76/4,433.88 = 1,970.48/x
  3. Step 3: Cross multiply
    3,211.76x = 4,433.88 × 1,970.48
  4. Step 4: Simplify right side
    3,211.76x = 8,736,871.86
  5. Step 5: Solve for x
    x = 8,736,871.86/3,211.76
  6. Step 6: Final answer
    x = 2,720.28

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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.