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Finding the Fourth Proportional to 2,812.42, 3,880.52 and 1,632.80

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Solution

The fourth proportional to 2,812.42, 3,880.52 and 1,632.80 is: 2,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.42 : 3,880.52 = 1,632.80 : x
  2. Step 2: Convert to fraction form
    2,812.42/3,880.52 = 1,632.80/x
  3. Step 3: Cross multiply
    2,812.42x = 3,880.52 × 1,632.80
  4. Step 4: Simplify right side
    2,812.42x = 6,336,113.06
  5. Step 5: Solve for x
    x = 6,336,113.06/2,812.42
  6. Step 6: Final answer
    x = 2,252.90

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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.