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Finding the Fourth Proportional to 2,149.93, 2,965.98 and 1,441.05

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Solution

The fourth proportional to 2,149.93, 2,965.98 and 1,441.05 is: 1,988.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.93 : 2,965.98 = 1,441.05 : x
  2. Step 2: Convert to fraction form
    2,149.93/2,965.98 = 1,441.05/x
  3. Step 3: Cross multiply
    2,149.93x = 2,965.98 × 1,441.05
  4. Step 4: Simplify right side
    2,149.93x = 4,274,125.48
  5. Step 5: Solve for x
    x = 4,274,125.48/2,149.93
  6. Step 6: Final answer
    x = 1,988.03

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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.