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Finding the Fourth Proportional to 2,541.02, 3,810.99 and 809.24

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Solution

The fourth proportional to 2,541.02, 3,810.99 and 809.24 is: 1,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.02 : 3,810.99 = 809.24 : x
  2. Step 2: Convert to fraction form
    2,541.02/3,810.99 = 809.24/x
  3. Step 3: Cross multiply
    2,541.02x = 3,810.99 × 809.24
  4. Step 4: Simplify right side
    2,541.02x = 3,084,005.55
  5. Step 5: Solve for x
    x = 3,084,005.55/2,541.02
  6. Step 6: Final answer
    x = 1,213.69

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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.