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Finding the Fourth Proportional to 3,173.94, 4,378.28 and 2,229.35

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Solution

The fourth proportional to 3,173.94, 4,378.28 and 2,229.35 is: 3,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.94 : 4,378.28 = 2,229.35 : x
  2. Step 2: Convert to fraction form
    3,173.94/4,378.28 = 2,229.35/x
  3. Step 3: Cross multiply
    3,173.94x = 4,378.28 × 2,229.35
  4. Step 4: Simplify right side
    3,173.94x = 9,760,685.48
  5. Step 5: Solve for x
    x = 9,760,685.48/3,173.94
  6. Step 6: Final answer
    x = 3,075.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.