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Finding the Fourth Proportional to 2,295.37, 3,173.40 and 1,696.92

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Solution

The fourth proportional to 2,295.37, 3,173.40 and 1,696.92 is: 2,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.37 : 3,173.40 = 1,696.92 : x
  2. Step 2: Convert to fraction form
    2,295.37/3,173.40 = 1,696.92/x
  3. Step 3: Cross multiply
    2,295.37x = 3,173.40 × 1,696.92
  4. Step 4: Simplify right side
    2,295.37x = 5,384,981.58
  5. Step 5: Solve for x
    x = 5,384,981.58/2,295.37
  6. Step 6: Final answer
    x = 2,346.02

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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.