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Finding the Fourth Proportional to 1,967.19, 2,713.81 and 1,268.79

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Solution

The fourth proportional to 1,967.19, 2,713.81 and 1,268.79 is: 1,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.19 : 2,713.81 = 1,268.79 : x
  2. Step 2: Convert to fraction form
    1,967.19/2,713.81 = 1,268.79/x
  3. Step 3: Cross multiply
    1,967.19x = 2,713.81 × 1,268.79
  4. Step 4: Simplify right side
    1,967.19x = 3,443,254.99
  5. Step 5: Solve for x
    x = 3,443,254.99/1,967.19
  6. Step 6: Final answer
    x = 1,750.34

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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.