Home / 2,072.89-3,110.10-962.82

Finding the Fourth Proportional to 2,072.89, 3,110.10 and 962.82

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Solution

The fourth proportional to 2,072.89, 3,110.10 and 962.82 is: 1,444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.89 : 3,110.10 = 962.82 : x
  2. Step 2: Convert to fraction form
    2,072.89/3,110.10 = 962.82/x
  3. Step 3: Cross multiply
    2,072.89x = 3,110.10 × 962.82
  4. Step 4: Simplify right side
    2,072.89x = 2,994,462.87
  5. Step 5: Solve for x
    x = 2,994,462.87/2,072.89
  6. Step 6: Final answer
    x = 1,444.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.