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Finding the Fourth Proportional to 2,541.65, 3,813.12 and 810.27

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Solution

The fourth proportional to 2,541.65, 3,813.12 and 810.27 is: 1,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.65 : 3,813.12 = 810.27 : x
  2. Step 2: Convert to fraction form
    2,541.65/3,813.12 = 810.27/x
  3. Step 3: Cross multiply
    2,541.65x = 3,813.12 × 810.27
  4. Step 4: Simplify right side
    2,541.65x = 3,089,656.74
  5. Step 5: Solve for x
    x = 3,089,656.74/2,541.65
  6. Step 6: Final answer
    x = 1,215.61

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Why These Related Problems?

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