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Finding the Fourth Proportional to 3,178, 4,382.52 and 2,280.22

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Solution

The fourth proportional to 3,178, 4,382.52 and 2,280.22 is: 3,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178 : 4,382.52 = 2,280.22 : x
  2. Step 2: Convert to fraction form
    3,178/4,382.52 = 2,280.22/x
  3. Step 3: Cross multiply
    3,178x = 4,382.52 × 2,280.22
  4. Step 4: Simplify right side
    3,178x = 9,993,109.75
  5. Step 5: Solve for x
    x = 9,993,109.75/3,178
  6. Step 6: Final answer
    x = 3,144.46

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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.