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Finding the Fourth Proportional to 2,957.76, 4,433.18 and 2,224.98

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Solution

The fourth proportional to 2,957.76, 4,433.18 and 2,224.98 is: 3,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.76 : 4,433.18 = 2,224.98 : x
  2. Step 2: Convert to fraction form
    2,957.76/4,433.18 = 2,224.98/x
  3. Step 3: Cross multiply
    2,957.76x = 4,433.18 × 2,224.98
  4. Step 4: Simplify right side
    2,957.76x = 9,863,720.23
  5. Step 5: Solve for x
    x = 9,863,720.23/2,957.76
  6. Step 6: Final answer
    x = 3,334.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.