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Finding the Fourth Proportional to 2,381.07, 3,571.95 and 737.76

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Solution

The fourth proportional to 2,381.07, 3,571.95 and 737.76 is: 1,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.07 : 3,571.95 = 737.76 : x
  2. Step 2: Convert to fraction form
    2,381.07/3,571.95 = 737.76/x
  3. Step 3: Cross multiply
    2,381.07x = 3,571.95 × 737.76
  4. Step 4: Simplify right side
    2,381.07x = 2,635,241.83
  5. Step 5: Solve for x
    x = 2,635,241.83/2,381.07
  6. Step 6: Final answer
    x = 1,106.75

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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.