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Finding the Fourth Proportional to 2,394.94, 3,305.11 and 1,450.19

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Solution

The fourth proportional to 2,394.94, 3,305.11 and 1,450.19 is: 2,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.94 : 3,305.11 = 1,450.19 : x
  2. Step 2: Convert to fraction form
    2,394.94/3,305.11 = 1,450.19/x
  3. Step 3: Cross multiply
    2,394.94x = 3,305.11 × 1,450.19
  4. Step 4: Simplify right side
    2,394.94x = 4,793,026.99
  5. Step 5: Solve for x
    x = 4,793,026.99/2,394.94
  6. Step 6: Final answer
    x = 2,001.32

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Why These Related Problems?

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