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Finding the Fourth Proportional to 2,907, 4,361.11 and 1,175.63

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Solution

The fourth proportional to 2,907, 4,361.11 and 1,175.63 is: 1,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907 : 4,361.11 = 1,175.63 : x
  2. Step 2: Convert to fraction form
    2,907/4,361.11 = 1,175.63/x
  3. Step 3: Cross multiply
    2,907x = 4,361.11 × 1,175.63
  4. Step 4: Simplify right side
    2,907x = 5,127,027.00
  5. Step 5: Solve for x
    x = 5,127,027.00/2,907
  6. Step 6: Final answer
    x = 1,763.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.