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Finding the Fourth Proportional to 2,564.88, 3,846.77 and 810.02

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Solution

The fourth proportional to 2,564.88, 3,846.77 and 810.02 is: 1,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.88 : 3,846.77 = 810.02 : x
  2. Step 2: Convert to fraction form
    2,564.88/3,846.77 = 810.02/x
  3. Step 3: Cross multiply
    2,564.88x = 3,846.77 × 810.02
  4. Step 4: Simplify right side
    2,564.88x = 3,115,960.64
  5. Step 5: Solve for x
    x = 3,115,960.64/2,564.88
  6. Step 6: Final answer
    x = 1,214.86

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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.