Home / 1,896.26-2,844.40-580.02

Finding the Fourth Proportional to 1,896.26, 2,844.40 and 580.02

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Solution

The fourth proportional to 1,896.26, 2,844.40 and 580.02 is: 870.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.26 : 2,844.40 = 580.02 : x
  2. Step 2: Convert to fraction form
    1,896.26/2,844.40 = 580.02/x
  3. Step 3: Cross multiply
    1,896.26x = 2,844.40 × 580.02
  4. Step 4: Simplify right side
    1,896.26x = 1,649,808.89
  5. Step 5: Solve for x
    x = 1,649,808.89/1,896.26
  6. Step 6: Final answer
    x = 870.03

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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.