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Finding the Fourth Proportional to 1,919.47, 2,879.37 and 532.81

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Solution

The fourth proportional to 1,919.47, 2,879.37 and 532.81 is: 799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.47 : 2,879.37 = 532.81 : x
  2. Step 2: Convert to fraction form
    1,919.47/2,879.37 = 532.81/x
  3. Step 3: Cross multiply
    1,919.47x = 2,879.37 × 532.81
  4. Step 4: Simplify right side
    1,919.47x = 1,534,157.13
  5. Step 5: Solve for x
    x = 1,534,157.13/1,919.47
  6. Step 6: Final answer
    x = 799.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.