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Finding the Fourth Proportional to 1,879.40, 2,593.44 and 1,040.09

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Solution

The fourth proportional to 1,879.40, 2,593.44 and 1,040.09 is: 1,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.40 : 2,593.44 = 1,040.09 : x
  2. Step 2: Convert to fraction form
    1,879.40/2,593.44 = 1,040.09/x
  3. Step 3: Cross multiply
    1,879.40x = 2,593.44 × 1,040.09
  4. Step 4: Simplify right side
    1,879.40x = 2,697,411.01
  5. Step 5: Solve for x
    x = 2,697,411.01/1,879.40
  6. Step 6: Final answer
    x = 1,435.25

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