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Finding the Fourth Proportional to 1,949.90, 2,924.82 and 1,323.64

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Solution

The fourth proportional to 1,949.90, 2,924.82 and 1,323.64 is: 1,985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.90 : 2,924.82 = 1,323.64 : x
  2. Step 2: Convert to fraction form
    1,949.90/2,924.82 = 1,323.64/x
  3. Step 3: Cross multiply
    1,949.90x = 2,924.82 × 1,323.64
  4. Step 4: Simplify right side
    1,949.90x = 3,871,408.74
  5. Step 5: Solve for x
    x = 3,871,408.74/1,949.90
  6. Step 6: Final answer
    x = 1,985.44

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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.