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Finding the Fourth Proportional to 2,075.80, 2,863.48 and 1,235.68

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Solution

The fourth proportional to 2,075.80, 2,863.48 and 1,235.68 is: 1,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.80 : 2,863.48 = 1,235.68 : x
  2. Step 2: Convert to fraction form
    2,075.80/2,863.48 = 1,235.68/x
  3. Step 3: Cross multiply
    2,075.80x = 2,863.48 × 1,235.68
  4. Step 4: Simplify right side
    2,075.80x = 3,538,344.97
  5. Step 5: Solve for x
    x = 3,538,344.97/2,075.80
  6. Step 6: Final answer
    x = 1,704.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.