Home / 2,075.24-3,112.50-688.44

Finding the Fourth Proportional to 2,075.24, 3,112.50 and 688.44

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Solution

The fourth proportional to 2,075.24, 3,112.50 and 688.44 is: 1,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.24 : 3,112.50 = 688.44 : x
  2. Step 2: Convert to fraction form
    2,075.24/3,112.50 = 688.44/x
  3. Step 3: Cross multiply
    2,075.24x = 3,112.50 × 688.44
  4. Step 4: Simplify right side
    2,075.24x = 2,142,769.50
  5. Step 5: Solve for x
    x = 2,142,769.50/2,075.24
  6. Step 6: Final answer
    x = 1,032.54

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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.