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Finding the Fourth Proportional to 1,879.94, 2,596.63 and 1,409.94

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Solution

The fourth proportional to 1,879.94, 2,596.63 and 1,409.94 is: 1,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.94 : 2,596.63 = 1,409.94 : x
  2. Step 2: Convert to fraction form
    1,879.94/2,596.63 = 1,409.94/x
  3. Step 3: Cross multiply
    1,879.94x = 2,596.63 × 1,409.94
  4. Step 4: Simplify right side
    1,879.94x = 3,661,092.50
  5. Step 5: Solve for x
    x = 3,661,092.50/1,879.94
  6. Step 6: Final answer
    x = 1,947.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.