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Finding the Fourth Proportional to 2,972.28, 4,101.74 and 1,713.33

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Solution

The fourth proportional to 2,972.28, 4,101.74 and 1,713.33 is: 2,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.28 : 4,101.74 = 1,713.33 : x
  2. Step 2: Convert to fraction form
    2,972.28/4,101.74 = 1,713.33/x
  3. Step 3: Cross multiply
    2,972.28x = 4,101.74 × 1,713.33
  4. Step 4: Simplify right side
    2,972.28x = 7,027,629.81
  5. Step 5: Solve for x
    x = 7,027,629.81/2,972.28
  6. Step 6: Final answer
    x = 2,364.39

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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.