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Finding the Fourth Proportional to 2,393.94, 3,302.33 and 1,449.28

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Solution

The fourth proportional to 2,393.94, 3,302.33 and 1,449.28 is: 1,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.94 : 3,302.33 = 1,449.28 : x
  2. Step 2: Convert to fraction form
    2,393.94/3,302.33 = 1,449.28/x
  3. Step 3: Cross multiply
    2,393.94x = 3,302.33 × 1,449.28
  4. Step 4: Simplify right side
    2,393.94x = 4,786,000.82
  5. Step 5: Solve for x
    x = 4,786,000.82/2,393.94
  6. Step 6: Final answer
    x = 1,999.22

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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.