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Finding the Fourth Proportional to 2,107.59, 2,908.58 and 1,175.91

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Solution

The fourth proportional to 2,107.59, 2,908.58 and 1,175.91 is: 1,622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.59 : 2,908.58 = 1,175.91 : x
  2. Step 2: Convert to fraction form
    2,107.59/2,908.58 = 1,175.91/x
  3. Step 3: Cross multiply
    2,107.59x = 2,908.58 × 1,175.91
  4. Step 4: Simplify right side
    2,107.59x = 3,420,222.43
  5. Step 5: Solve for x
    x = 3,420,222.43/2,107.59
  6. Step 6: Final answer
    x = 1,622.81

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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.