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Finding the Fourth Proportional to 2,800.41, 4,197.99 and 950.23

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Solution

The fourth proportional to 2,800.41, 4,197.99 and 950.23 is: 1,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.41 : 4,197.99 = 950.23 : x
  2. Step 2: Convert to fraction form
    2,800.41/4,197.99 = 950.23/x
  3. Step 3: Cross multiply
    2,800.41x = 4,197.99 × 950.23
  4. Step 4: Simplify right side
    2,800.41x = 3,989,056.04
  5. Step 5: Solve for x
    x = 3,989,056.04/2,800.41
  6. Step 6: Final answer
    x = 1,424.45

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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.