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Finding the Fourth Proportional to 1,879.09, 2,820.45 and 840.26

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Solution

The fourth proportional to 1,879.09, 2,820.45 and 840.26 is: 1,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.09 : 2,820.45 = 840.26 : x
  2. Step 2: Convert to fraction form
    1,879.09/2,820.45 = 840.26/x
  3. Step 3: Cross multiply
    1,879.09x = 2,820.45 × 840.26
  4. Step 4: Simplify right side
    1,879.09x = 2,369,911.32
  5. Step 5: Solve for x
    x = 2,369,911.32/1,879.09
  6. Step 6: Final answer
    x = 1,261.20

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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.