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Finding the Fourth Proportional to 2,283.41, 3,422.99 and 1,051.81

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Solution

The fourth proportional to 2,283.41, 3,422.99 and 1,051.81 is: 1,576.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.41 : 3,422.99 = 1,051.81 : x
  2. Step 2: Convert to fraction form
    2,283.41/3,422.99 = 1,051.81/x
  3. Step 3: Cross multiply
    2,283.41x = 3,422.99 × 1,051.81
  4. Step 4: Simplify right side
    2,283.41x = 3,600,329.18
  5. Step 5: Solve for x
    x = 3,600,329.18/2,283.41
  6. Step 6: Final answer
    x = 1,576.73

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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.