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Finding the Fourth Proportional to 2,887.70, 3,986.05 and 1,768.38

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Solution

The fourth proportional to 2,887.70, 3,986.05 and 1,768.38 is: 2,440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.70 : 3,986.05 = 1,768.38 : x
  2. Step 2: Convert to fraction form
    2,887.70/3,986.05 = 1,768.38/x
  3. Step 3: Cross multiply
    2,887.70x = 3,986.05 × 1,768.38
  4. Step 4: Simplify right side
    2,887.70x = 7,048,851.10
  5. Step 5: Solve for x
    x = 7,048,851.10/2,887.70
  6. Step 6: Final answer
    x = 2,440.99

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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.