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Finding the Fourth Proportional to 1,224.34, 1,827.92 and 1,059.59

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Solution

The fourth proportional to 1,224.34, 1,827.92 and 1,059.59 is: 1,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.34 : 1,827.92 = 1,059.59 : x
  2. Step 2: Convert to fraction form
    1,224.34/1,827.92 = 1,059.59/x
  3. Step 3: Cross multiply
    1,224.34x = 1,827.92 × 1,059.59
  4. Step 4: Simplify right side
    1,224.34x = 1,936,852.97
  5. Step 5: Solve for x
    x = 1,936,852.97/1,224.34
  6. Step 6: Final answer
    x = 1,581.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.