Home / 2,843.50-3,923.76-1,584.34

Finding the Fourth Proportional to 2,843.50, 3,923.76 and 1,584.34

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Solution

The fourth proportional to 2,843.50, 3,923.76 and 1,584.34 is: 2,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.50 : 3,923.76 = 1,584.34 : x
  2. Step 2: Convert to fraction form
    2,843.50/3,923.76 = 1,584.34/x
  3. Step 3: Cross multiply
    2,843.50x = 3,923.76 × 1,584.34
  4. Step 4: Simplify right side
    2,843.50x = 6,216,569.92
  5. Step 5: Solve for x
    x = 6,216,569.92/2,843.50
  6. Step 6: Final answer
    x = 2,186.24

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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.