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Finding the Fourth Proportional to 2,264.19, 3,395.36 and 877.26

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Solution

The fourth proportional to 2,264.19, 3,395.36 and 877.26 is: 1,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.19 : 3,395.36 = 877.26 : x
  2. Step 2: Convert to fraction form
    2,264.19/3,395.36 = 877.26/x
  3. Step 3: Cross multiply
    2,264.19x = 3,395.36 × 877.26
  4. Step 4: Simplify right side
    2,264.19x = 2,978,628.44
  5. Step 5: Solve for x
    x = 2,978,628.44/2,264.19
  6. Step 6: Final answer
    x = 1,315.54

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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.