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Finding the Fourth Proportional to 2,369.97, 3,269.22 and 1,484.25

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Solution

The fourth proportional to 2,369.97, 3,269.22 and 1,484.25 is: 2,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.97 : 3,269.22 = 1,484.25 : x
  2. Step 2: Convert to fraction form
    2,369.97/3,269.22 = 1,484.25/x
  3. Step 3: Cross multiply
    2,369.97x = 3,269.22 × 1,484.25
  4. Step 4: Simplify right side
    2,369.97x = 4,852,339.79
  5. Step 5: Solve for x
    x = 4,852,339.79/2,369.97
  6. Step 6: Final answer
    x = 2,047.43

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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.