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Finding the Fourth Proportional to 2,907.84, 4,359.24 and 1,175.34

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Solution

The fourth proportional to 2,907.84, 4,359.24 and 1,175.34 is: 1,761.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.84 : 4,359.24 = 1,175.34 : x
  2. Step 2: Convert to fraction form
    2,907.84/4,359.24 = 1,175.34/x
  3. Step 3: Cross multiply
    2,907.84x = 4,359.24 × 1,175.34
  4. Step 4: Simplify right side
    2,907.84x = 5,123,589.14
  5. Step 5: Solve for x
    x = 5,123,589.14/2,907.84
  6. Step 6: Final answer
    x = 1,761.99

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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.