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Finding the Fourth Proportional to 2,879.57, 3,973.80 and 1,637.57

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Solution

The fourth proportional to 2,879.57, 3,973.80 and 1,637.57 is: 2,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.57 : 3,973.80 = 1,637.57 : x
  2. Step 2: Convert to fraction form
    2,879.57/3,973.80 = 1,637.57/x
  3. Step 3: Cross multiply
    2,879.57x = 3,973.80 × 1,637.57
  4. Step 4: Simplify right side
    2,879.57x = 6,507,355.80
  5. Step 5: Solve for x
    x = 6,507,355.80/2,879.57
  6. Step 6: Final answer
    x = 2,259.84

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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.