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Finding the Fourth Proportional to 1,874.37, 2,567.86 and 1,804.26

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Solution

The fourth proportional to 1,874.37, 2,567.86 and 1,804.26 is: 2,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.37 : 2,567.86 = 1,804.26 : x
  2. Step 2: Convert to fraction form
    1,874.37/2,567.86 = 1,804.26/x
  3. Step 3: Cross multiply
    1,874.37x = 2,567.86 × 1,804.26
  4. Step 4: Simplify right side
    1,874.37x = 4,633,087.08
  5. Step 5: Solve for x
    x = 4,633,087.08/1,874.37
  6. Step 6: Final answer
    x = 2,471.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.