Home / 2,075.02-3,111.68-842.06

Finding the Fourth Proportional to 2,075.02, 3,111.68 and 842.06

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Solution

The fourth proportional to 2,075.02, 3,111.68 and 842.06 is: 1,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.02 : 3,111.68 = 842.06 : x
  2. Step 2: Convert to fraction form
    2,075.02/3,111.68 = 842.06/x
  3. Step 3: Cross multiply
    2,075.02x = 3,111.68 × 842.06
  4. Step 4: Simplify right side
    2,075.02x = 2,620,231.15
  5. Step 5: Solve for x
    x = 2,620,231.15/2,075.02
  6. Step 6: Final answer
    x = 1,262.75

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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.