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Finding the Fourth Proportional to 2,656.44, 3,664.71 and 1,771.38

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Solution

The fourth proportional to 2,656.44, 3,664.71 and 1,771.38 is: 2,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.44 : 3,664.71 = 1,771.38 : x
  2. Step 2: Convert to fraction form
    2,656.44/3,664.71 = 1,771.38/x
  3. Step 3: Cross multiply
    2,656.44x = 3,664.71 × 1,771.38
  4. Step 4: Simplify right side
    2,656.44x = 6,491,594.00
  5. Step 5: Solve for x
    x = 6,491,594.00/2,656.44
  6. Step 6: Final answer
    x = 2,443.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.