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Finding the Fourth Proportional to 2,065.26, 3,097.80 and 910.20

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Solution

The fourth proportional to 2,065.26, 3,097.80 and 910.20 is: 1,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.26 : 3,097.80 = 910.20 : x
  2. Step 2: Convert to fraction form
    2,065.26/3,097.80 = 910.20/x
  3. Step 3: Cross multiply
    2,065.26x = 3,097.80 × 910.20
  4. Step 4: Simplify right side
    2,065.26x = 2,819,617.56
  5. Step 5: Solve for x
    x = 2,819,617.56/2,065.26
  6. Step 6: Final answer
    x = 1,365.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.