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Finding the Fourth Proportional to 1,919.62, 2,879.09 and 603.24

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Solution

The fourth proportional to 1,919.62, 2,879.09 and 603.24 is: 904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.62 : 2,879.09 = 603.24 : x
  2. Step 2: Convert to fraction form
    1,919.62/2,879.09 = 603.24/x
  3. Step 3: Cross multiply
    1,919.62x = 2,879.09 × 603.24
  4. Step 4: Simplify right side
    1,919.62x = 1,736,782.25
  5. Step 5: Solve for x
    x = 1,736,782.25/1,919.62
  6. Step 6: Final answer
    x = 904.75

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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.