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Finding the Fourth Proportional to 1,968.07, 2,715.87 and 1,083.87

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Solution

The fourth proportional to 1,968.07, 2,715.87 and 1,083.87 is: 1,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.07 : 2,715.87 = 1,083.87 : x
  2. Step 2: Convert to fraction form
    1,968.07/2,715.87 = 1,083.87/x
  3. Step 3: Cross multiply
    1,968.07x = 2,715.87 × 1,083.87
  4. Step 4: Simplify right side
    1,968.07x = 2,943,650.02
  5. Step 5: Solve for x
    x = 2,943,650.02/1,968.07
  6. Step 6: Final answer
    x = 1,495.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.