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Finding the Fourth Proportional to 2,547.81, 3,821.85 and 816.48

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Solution

The fourth proportional to 2,547.81, 3,821.85 and 816.48 is: 1,224.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.81 : 3,821.85 = 816.48 : x
  2. Step 2: Convert to fraction form
    2,547.81/3,821.85 = 816.48/x
  3. Step 3: Cross multiply
    2,547.81x = 3,821.85 × 816.48
  4. Step 4: Simplify right side
    2,547.81x = 3,120,464.09
  5. Step 5: Solve for x
    x = 3,120,464.09/2,547.81
  6. Step 6: Final answer
    x = 1,224.76

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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.