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Finding the Fourth Proportional to 1,619.75, 2,234.04 and 1,123.22

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Solution

The fourth proportional to 1,619.75, 2,234.04 and 1,123.22 is: 1,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.75 : 2,234.04 = 1,123.22 : x
  2. Step 2: Convert to fraction form
    1,619.75/2,234.04 = 1,123.22/x
  3. Step 3: Cross multiply
    1,619.75x = 2,234.04 × 1,123.22
  4. Step 4: Simplify right side
    1,619.75x = 2,509,318.41
  5. Step 5: Solve for x
    x = 2,509,318.41/1,619.75
  6. Step 6: Final answer
    x = 1,549.20

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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.