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Finding the Fourth Proportional to 2,718.06, 3,750.91 and 1,599

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Solution

The fourth proportional to 2,718.06, 3,750.91 and 1,599 is: 2,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.06 : 3,750.91 = 1,599 : x
  2. Step 2: Convert to fraction form
    2,718.06/3,750.91 = 1,599/x
  3. Step 3: Cross multiply
    2,718.06x = 3,750.91 × 1,599
  4. Step 4: Simplify right side
    2,718.06x = 5,997,705.09
  5. Step 5: Solve for x
    x = 5,997,705.09/2,718.06
  6. Step 6: Final answer
    x = 2,206.61

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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.