Home / 2,284.06-3,424.02-1,186.06

Finding the Fourth Proportional to 2,284.06, 3,424.02 and 1,186.06

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Solution

The fourth proportional to 2,284.06, 3,424.02 and 1,186.06 is: 1,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.06 : 3,424.02 = 1,186.06 : x
  2. Step 2: Convert to fraction form
    2,284.06/3,424.02 = 1,186.06/x
  3. Step 3: Cross multiply
    2,284.06x = 3,424.02 × 1,186.06
  4. Step 4: Simplify right side
    2,284.06x = 4,061,093.16
  5. Step 5: Solve for x
    x = 4,061,093.16/2,284.06
  6. Step 6: Final answer
    x = 1,778.02

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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.