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Finding the Fourth Proportional to 2,541.69, 3,812.82 and 1,445.76

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Solution

The fourth proportional to 2,541.69, 3,812.82 and 1,445.76 is: 2,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.69 : 3,812.82 = 1,445.76 : x
  2. Step 2: Convert to fraction form
    2,541.69/3,812.82 = 1,445.76/x
  3. Step 3: Cross multiply
    2,541.69x = 3,812.82 × 1,445.76
  4. Step 4: Simplify right side
    2,541.69x = 5,512,422.64
  5. Step 5: Solve for x
    x = 5,512,422.64/2,541.69
  6. Step 6: Final answer
    x = 2,168.80

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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.