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Finding the Fourth Proportional to 2,050.14, 3,075.21 and 511.14

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Solution

The fourth proportional to 2,050.14, 3,075.21 and 511.14 is: 766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.14 : 3,075.21 = 511.14 : x
  2. Step 2: Convert to fraction form
    2,050.14/3,075.21 = 511.14/x
  3. Step 3: Cross multiply
    2,050.14x = 3,075.21 × 511.14
  4. Step 4: Simplify right side
    2,050.14x = 1,571,862.84
  5. Step 5: Solve for x
    x = 1,571,862.84/2,050.14
  6. Step 6: Final answer
    x = 766.71

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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.