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Finding the Fourth Proportional to 2,689.84, 3,711.72 and 1,511.36

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Solution

The fourth proportional to 2,689.84, 3,711.72 and 1,511.36 is: 2,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.84 : 3,711.72 = 1,511.36 : x
  2. Step 2: Convert to fraction form
    2,689.84/3,711.72 = 1,511.36/x
  3. Step 3: Cross multiply
    2,689.84x = 3,711.72 × 1,511.36
  4. Step 4: Simplify right side
    2,689.84x = 5,609,745.14
  5. Step 5: Solve for x
    x = 5,609,745.14/2,689.84
  6. Step 6: Final answer
    x = 2,085.53

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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.