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Finding the Fourth Proportional to 2,758, 3,802.80 and 1,970.68

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Solution

The fourth proportional to 2,758, 3,802.80 and 1,970.68 is: 2,717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758 : 3,802.80 = 1,970.68 : x
  2. Step 2: Convert to fraction form
    2,758/3,802.80 = 1,970.68/x
  3. Step 3: Cross multiply
    2,758x = 3,802.80 × 1,970.68
  4. Step 4: Simplify right side
    2,758x = 7,494,101.90
  5. Step 5: Solve for x
    x = 7,494,101.90/2,758
  6. Step 6: Final answer
    x = 2,717.22

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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.