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Finding the Fourth Proportional to 2,568.58, 3,851.15 and 2,075.59

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Solution

The fourth proportional to 2,568.58, 3,851.15 and 2,075.59 is: 3,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.58 : 3,851.15 = 2,075.59 : x
  2. Step 2: Convert to fraction form
    2,568.58/3,851.15 = 2,075.59/x
  3. Step 3: Cross multiply
    2,568.58x = 3,851.15 × 2,075.59
  4. Step 4: Simplify right side
    2,568.58x = 7,993,403.99
  5. Step 5: Solve for x
    x = 7,993,403.99/2,568.58
  6. Step 6: Final answer
    x = 3,112.00

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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.