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Finding the Fourth Proportional to 2,812.61, 3,880.96 and 1,633.47

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Solution

The fourth proportional to 2,812.61, 3,880.96 and 1,633.47 is: 2,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.61 : 3,880.96 = 1,633.47 : x
  2. Step 2: Convert to fraction form
    2,812.61/3,880.96 = 1,633.47/x
  3. Step 3: Cross multiply
    2,812.61x = 3,880.96 × 1,633.47
  4. Step 4: Simplify right side
    2,812.61x = 6,339,427.65
  5. Step 5: Solve for x
    x = 6,339,427.65/2,812.61
  6. Step 6: Final answer
    x = 2,253.93

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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.