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Finding the Fourth Proportional to 1,833.96, 2,529.99 and 1,204.23

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Solution

The fourth proportional to 1,833.96, 2,529.99 and 1,204.23 is: 1,661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.96 : 2,529.99 = 1,204.23 : x
  2. Step 2: Convert to fraction form
    1,833.96/2,529.99 = 1,204.23/x
  3. Step 3: Cross multiply
    1,833.96x = 2,529.99 × 1,204.23
  4. Step 4: Simplify right side
    1,833.96x = 3,046,689.86
  5. Step 5: Solve for x
    x = 3,046,689.86/1,833.96
  6. Step 6: Final answer
    x = 1,661.26

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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.