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Finding the Fourth Proportional to 2,251.78, 3,381.46 and 1,696.54

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Solution

The fourth proportional to 2,251.78, 3,381.46 and 1,696.54 is: 2,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.78 : 3,381.46 = 1,696.54 : x
  2. Step 2: Convert to fraction form
    2,251.78/3,381.46 = 1,696.54/x
  3. Step 3: Cross multiply
    2,251.78x = 3,381.46 × 1,696.54
  4. Step 4: Simplify right side
    2,251.78x = 5,736,782.15
  5. Step 5: Solve for x
    x = 5,736,782.15/2,251.78
  6. Step 6: Final answer
    x = 2,547.67

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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.