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Finding the Fourth Proportional to 2,264.21, 3,395.94 and 803.04

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Solution

The fourth proportional to 2,264.21, 3,395.94 and 803.04 is: 1,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.21 : 3,395.94 = 803.04 : x
  2. Step 2: Convert to fraction form
    2,264.21/3,395.94 = 803.04/x
  3. Step 3: Cross multiply
    2,264.21x = 3,395.94 × 803.04
  4. Step 4: Simplify right side
    2,264.21x = 2,727,075.66
  5. Step 5: Solve for x
    x = 2,727,075.66/2,264.21
  6. Step 6: Final answer
    x = 1,204.43

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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.