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Finding the Fourth Proportional to 2,718.63, 3,751.47 and 1,584.12

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Solution

The fourth proportional to 2,718.63, 3,751.47 and 1,584.12 is: 2,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.63 : 3,751.47 = 1,584.12 : x
  2. Step 2: Convert to fraction form
    2,718.63/3,751.47 = 1,584.12/x
  3. Step 3: Cross multiply
    2,718.63x = 3,751.47 × 1,584.12
  4. Step 4: Simplify right side
    2,718.63x = 5,942,778.66
  5. Step 5: Solve for x
    x = 5,942,778.66/2,718.63
  6. Step 6: Final answer
    x = 2,185.95

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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.