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Finding the Fourth Proportional to 2,403.64, 3,605.94 and 942.82

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Solution

The fourth proportional to 2,403.64, 3,605.94 and 942.82 is: 1,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.64 : 3,605.94 = 942.82 : x
  2. Step 2: Convert to fraction form
    2,403.64/3,605.94 = 942.82/x
  3. Step 3: Cross multiply
    2,403.64x = 3,605.94 × 942.82
  4. Step 4: Simplify right side
    2,403.64x = 3,399,752.35
  5. Step 5: Solve for x
    x = 3,399,752.35/2,403.64
  6. Step 6: Final answer
    x = 1,414.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.