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Finding the Fourth Proportional to 2,268.16, 3,401.62 and 624.32

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Solution

The fourth proportional to 2,268.16, 3,401.62 and 624.32 is: 936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.16 : 3,401.62 = 624.32 : x
  2. Step 2: Convert to fraction form
    2,268.16/3,401.62 = 624.32/x
  3. Step 3: Cross multiply
    2,268.16x = 3,401.62 × 624.32
  4. Step 4: Simplify right side
    2,268.16x = 2,123,699.40
  5. Step 5: Solve for x
    x = 2,123,699.40/2,268.16
  6. Step 6: Final answer
    x = 936.31

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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.