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Finding the Fourth Proportional to 1,971.36, 2,718.72 and 1,272

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Solution

The fourth proportional to 1,971.36, 2,718.72 and 1,272 is: 1,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.36 : 2,718.72 = 1,272 : x
  2. Step 2: Convert to fraction form
    1,971.36/2,718.72 = 1,272/x
  3. Step 3: Cross multiply
    1,971.36x = 2,718.72 × 1,272
  4. Step 4: Simplify right side
    1,971.36x = 3,458,211.84
  5. Step 5: Solve for x
    x = 3,458,211.84/1,971.36
  6. Step 6: Final answer
    x = 1,754.23

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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.