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Finding the Fourth Proportional to 2,107.14, 2,907.85 and 1,175.64

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Solution

The fourth proportional to 2,107.14, 2,907.85 and 1,175.64 is: 1,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.14 : 2,907.85 = 1,175.64 : x
  2. Step 2: Convert to fraction form
    2,107.14/2,907.85 = 1,175.64/x
  3. Step 3: Cross multiply
    2,107.14x = 2,907.85 × 1,175.64
  4. Step 4: Simplify right side
    2,107.14x = 3,418,564.36
  5. Step 5: Solve for x
    x = 3,418,564.36/2,107.14
  6. Step 6: Final answer
    x = 1,622.38

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Why These Related Problems?

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