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Finding the Fourth Proportional to 2,696.54, 4,044.08 and 917.43

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Solution

The fourth proportional to 2,696.54, 4,044.08 and 917.43 is: 1,375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.54 : 4,044.08 = 917.43 : x
  2. Step 2: Convert to fraction form
    2,696.54/4,044.08 = 917.43/x
  3. Step 3: Cross multiply
    2,696.54x = 4,044.08 × 917.43
  4. Step 4: Simplify right side
    2,696.54x = 3,710,142.28
  5. Step 5: Solve for x
    x = 3,710,142.28/2,696.54
  6. Step 6: Final answer
    x = 1,375.89

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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.