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Finding the Fourth Proportional to 2,706.93, 3,735.11 and 1,511.69

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Solution

The fourth proportional to 2,706.93, 3,735.11 and 1,511.69 is: 2,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.93 : 3,735.11 = 1,511.69 : x
  2. Step 2: Convert to fraction form
    2,706.93/3,735.11 = 1,511.69/x
  3. Step 3: Cross multiply
    2,706.93x = 3,735.11 × 1,511.69
  4. Step 4: Simplify right side
    2,706.93x = 5,646,302.20
  5. Step 5: Solve for x
    x = 5,646,302.20/2,706.93
  6. Step 6: Final answer
    x = 2,085.87

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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.