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Finding the Fourth Proportional to 2,910.66, 4,361.64 and 1,933.26

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Solution

The fourth proportional to 2,910.66, 4,361.64 and 1,933.26 is: 2,897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.66 : 4,361.64 = 1,933.26 : x
  2. Step 2: Convert to fraction form
    2,910.66/4,361.64 = 1,933.26/x
  3. Step 3: Cross multiply
    2,910.66x = 4,361.64 × 1,933.26
  4. Step 4: Simplify right side
    2,910.66x = 8,432,184.15
  5. Step 5: Solve for x
    x = 8,432,184.15/2,910.66
  6. Step 6: Final answer
    x = 2,897.00

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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.