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Finding the Fourth Proportional to 1,919.99, 2,879.67 and 533.47

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Solution

The fourth proportional to 1,919.99, 2,879.67 and 533.47 is: 800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.99 : 2,879.67 = 533.47 : x
  2. Step 2: Convert to fraction form
    1,919.99/2,879.67 = 533.47/x
  3. Step 3: Cross multiply
    1,919.99x = 2,879.67 × 533.47
  4. Step 4: Simplify right side
    1,919.99x = 1,536,210.36
  5. Step 5: Solve for x
    x = 1,536,210.36/1,919.99
  6. Step 6: Final answer
    x = 800.11

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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.