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Finding the Fourth Proportional to 2,050.33, 3,075.49 and 511.33

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Solution

The fourth proportional to 2,050.33, 3,075.49 and 511.33 is: 766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.33 : 3,075.49 = 511.33 : x
  2. Step 2: Convert to fraction form
    2,050.33/3,075.49 = 511.33/x
  3. Step 3: Cross multiply
    2,050.33x = 3,075.49 × 511.33
  4. Step 4: Simplify right side
    2,050.33x = 1,572,590.30
  5. Step 5: Solve for x
    x = 1,572,590.30/2,050.33
  6. Step 6: Final answer
    x = 766.99

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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.