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Finding the Fourth Proportional to 2,840.08, 4,257.48 and 2,606.50

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Solution

The fourth proportional to 2,840.08, 4,257.48 and 2,606.50 is: 3,907.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.08 : 4,257.48 = 2,606.50 : x
  2. Step 2: Convert to fraction form
    2,840.08/4,257.48 = 2,606.50/x
  3. Step 3: Cross multiply
    2,840.08x = 4,257.48 × 2,606.50
  4. Step 4: Simplify right side
    2,840.08x = 11,097,121.62
  5. Step 5: Solve for x
    x = 11,097,121.62/2,840.08
  6. Step 6: Final answer
    x = 3,907.33

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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.