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Finding the Fourth Proportional to 2,156.81, 2,975.99 and 1,272.47

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Solution

The fourth proportional to 2,156.81, 2,975.99 and 1,272.47 is: 1,755.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.81 : 2,975.99 = 1,272.47 : x
  2. Step 2: Convert to fraction form
    2,156.81/2,975.99 = 1,272.47/x
  3. Step 3: Cross multiply
    2,156.81x = 2,975.99 × 1,272.47
  4. Step 4: Simplify right side
    2,156.81x = 3,786,836.75
  5. Step 5: Solve for x
    x = 3,786,836.75/2,156.81
  6. Step 6: Final answer
    x = 1,755.76

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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.