Home / 2,162.46-2,985.62-1,664.22

Finding the Fourth Proportional to 2,162.46, 2,985.62 and 1,664.22

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Solution

The fourth proportional to 2,162.46, 2,985.62 and 1,664.22 is: 2,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.46 : 2,985.62 = 1,664.22 : x
  2. Step 2: Convert to fraction form
    2,162.46/2,985.62 = 1,664.22/x
  3. Step 3: Cross multiply
    2,162.46x = 2,985.62 × 1,664.22
  4. Step 4: Simplify right side
    2,162.46x = 4,968,728.52
  5. Step 5: Solve for x
    x = 4,968,728.52/2,162.46
  6. Step 6: Final answer
    x = 2,297.72

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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.