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Finding the Fourth Proportional to 2,361.69, 3,537.68 and 1,385.44

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Solution

The fourth proportional to 2,361.69, 3,537.68 and 1,385.44 is: 2,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.69 : 3,537.68 = 1,385.44 : x
  2. Step 2: Convert to fraction form
    2,361.69/3,537.68 = 1,385.44/x
  3. Step 3: Cross multiply
    2,361.69x = 3,537.68 × 1,385.44
  4. Step 4: Simplify right side
    2,361.69x = 4,901,227.61
  5. Step 5: Solve for x
    x = 4,901,227.61/2,361.69
  6. Step 6: Final answer
    x = 2,075.31

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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.