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Finding the Fourth Proportional to 2,283.21, 3,422.07 and 1,048.92

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Solution

The fourth proportional to 2,283.21, 3,422.07 and 1,048.92 is: 1,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.21 : 3,422.07 = 1,048.92 : x
  2. Step 2: Convert to fraction form
    2,283.21/3,422.07 = 1,048.92/x
  3. Step 3: Cross multiply
    2,283.21x = 3,422.07 × 1,048.92
  4. Step 4: Simplify right side
    2,283.21x = 3,589,477.66
  5. Step 5: Solve for x
    x = 3,589,477.66/2,283.21
  6. Step 6: Final answer
    x = 1,572.12

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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.