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Finding the Fourth Proportional to 1,968.19, 2,713.85 and 1,469.99

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Solution

The fourth proportional to 1,968.19, 2,713.85 and 1,469.99 is: 2,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.19 : 2,713.85 = 1,469.99 : x
  2. Step 2: Convert to fraction form
    1,968.19/2,713.85 = 1,469.99/x
  3. Step 3: Cross multiply
    1,968.19x = 2,713.85 × 1,469.99
  4. Step 4: Simplify right side
    1,968.19x = 3,989,329.89
  5. Step 5: Solve for x
    x = 3,989,329.89/1,968.19
  6. Step 6: Final answer
    x = 2,026.90

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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.