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Finding the Fourth Proportional to 2,696.47, 4,045.67 and 941.73

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Solution

The fourth proportional to 2,696.47, 4,045.67 and 941.73 is: 1,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.47 : 4,045.67 = 941.73 : x
  2. Step 2: Convert to fraction form
    2,696.47/4,045.67 = 941.73/x
  3. Step 3: Cross multiply
    2,696.47x = 4,045.67 × 941.73
  4. Step 4: Simplify right side
    2,696.47x = 3,809,926.11
  5. Step 5: Solve for x
    x = 3,809,926.11/2,696.47
  6. Step 6: Final answer
    x = 1,412.93

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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.