Home / 2,050.24-3,075.84-589.48

Finding the Fourth Proportional to 2,050.24, 3,075.84 and 589.48

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Solution

The fourth proportional to 2,050.24, 3,075.84 and 589.48 is: 884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.24 : 3,075.84 = 589.48 : x
  2. Step 2: Convert to fraction form
    2,050.24/3,075.84 = 589.48/x
  3. Step 3: Cross multiply
    2,050.24x = 3,075.84 × 589.48
  4. Step 4: Simplify right side
    2,050.24x = 1,813,146.16
  5. Step 5: Solve for x
    x = 1,813,146.16/2,050.24
  6. Step 6: Final answer
    x = 884.36

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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.