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Finding the Fourth Proportional to 2,266.44, 3,395.81 and 1,097.01

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Solution

The fourth proportional to 2,266.44, 3,395.81 and 1,097.01 is: 1,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.44 : 3,395.81 = 1,097.01 : x
  2. Step 2: Convert to fraction form
    2,266.44/3,395.81 = 1,097.01/x
  3. Step 3: Cross multiply
    2,266.44x = 3,395.81 × 1,097.01
  4. Step 4: Simplify right side
    2,266.44x = 3,725,237.53
  5. Step 5: Solve for x
    x = 3,725,237.53/2,266.44
  6. Step 6: Final answer
    x = 1,643.65

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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.