Home / 2,075.20-3,112.14-688.28

Finding the Fourth Proportional to 2,075.20, 3,112.14 and 688.28

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Solution

The fourth proportional to 2,075.20, 3,112.14 and 688.28 is: 1,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.20 : 3,112.14 = 688.28 : x
  2. Step 2: Convert to fraction form
    2,075.20/3,112.14 = 688.28/x
  3. Step 3: Cross multiply
    2,075.20x = 3,112.14 × 688.28
  4. Step 4: Simplify right side
    2,075.20x = 2,142,023.72
  5. Step 5: Solve for x
    x = 2,142,023.72/2,075.20
  6. Step 6: Final answer
    x = 1,032.20

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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.