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Finding the Fourth Proportional to 1,879.42, 2,594.77 and 1,207.49

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Solution

The fourth proportional to 1,879.42, 2,594.77 and 1,207.49 is: 1,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.42 : 2,594.77 = 1,207.49 : x
  2. Step 2: Convert to fraction form
    1,879.42/2,594.77 = 1,207.49/x
  3. Step 3: Cross multiply
    1,879.42x = 2,594.77 × 1,207.49
  4. Step 4: Simplify right side
    1,879.42x = 3,133,165.31
  5. Step 5: Solve for x
    x = 3,133,165.31/1,879.42
  6. Step 6: Final answer
    x = 1,667.09

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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.