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Finding the Fourth Proportional to 2,172.44, 3,256.64 and 856.91

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Solution

The fourth proportional to 2,172.44, 3,256.64 and 856.91 is: 1,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.44 : 3,256.64 = 856.91 : x
  2. Step 2: Convert to fraction form
    2,172.44/3,256.64 = 856.91/x
  3. Step 3: Cross multiply
    2,172.44x = 3,256.64 × 856.91
  4. Step 4: Simplify right side
    2,172.44x = 2,790,647.38
  5. Step 5: Solve for x
    x = 2,790,647.38/2,172.44
  6. Step 6: Final answer
    x = 1,284.57

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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.