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Finding the Fourth Proportional to 3,075.11, 4,612.60 and 853.94

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Solution

The fourth proportional to 3,075.11, 4,612.60 and 853.94 is: 1,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.11 : 4,612.60 = 853.94 : x
  2. Step 2: Convert to fraction form
    3,075.11/4,612.60 = 853.94/x
  3. Step 3: Cross multiply
    3,075.11x = 4,612.60 × 853.94
  4. Step 4: Simplify right side
    3,075.11x = 3,938,891.44
  5. Step 5: Solve for x
    x = 3,938,891.44/3,075.11
  6. Step 6: Final answer
    x = 1,280.89

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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.