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Finding the Fourth Proportional to 1,974.51, 2,725.93 and 1,369.72

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Solution

The fourth proportional to 1,974.51, 2,725.93 and 1,369.72 is: 1,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.51 : 2,725.93 = 1,369.72 : x
  2. Step 2: Convert to fraction form
    1,974.51/2,725.93 = 1,369.72/x
  3. Step 3: Cross multiply
    1,974.51x = 2,725.93 × 1,369.72
  4. Step 4: Simplify right side
    1,974.51x = 3,733,772.44
  5. Step 5: Solve for x
    x = 3,733,772.44/1,974.51
  6. Step 6: Final answer
    x = 1,890.99

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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.