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Finding the Fourth Proportional to 3,369.25, 4,649.97 and 1,972

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Solution

The fourth proportional to 3,369.25, 4,649.97 and 1,972 is: 2,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.25 : 4,649.97 = 1,972 : x
  2. Step 2: Convert to fraction form
    3,369.25/4,649.97 = 1,972/x
  3. Step 3: Cross multiply
    3,369.25x = 4,649.97 × 1,972
  4. Step 4: Simplify right side
    3,369.25x = 9,169,740.84
  5. Step 5: Solve for x
    x = 9,169,740.84/3,369.25
  6. Step 6: Final answer
    x = 2,721.60

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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.