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Finding the Fourth Proportional to 1,797.23, 2,480.00 and 1,011.26

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Solution

The fourth proportional to 1,797.23, 2,480.00 and 1,011.26 is: 1,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.23 : 2,480.00 = 1,011.26 : x
  2. Step 2: Convert to fraction form
    1,797.23/2,480.00 = 1,011.26/x
  3. Step 3: Cross multiply
    1,797.23x = 2,480.00 × 1,011.26
  4. Step 4: Simplify right side
    1,797.23x = 2,507,907.34
  5. Step 5: Solve for x
    x = 2,507,907.34/1,797.23
  6. Step 6: Final answer
    x = 1,395.43

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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.