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Finding the Fourth Proportional to 1,833.92, 2,530.14 and 1,204.79

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Solution

The fourth proportional to 1,833.92, 2,530.14 and 1,204.79 is: 1,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.92 : 2,530.14 = 1,204.79 : x
  2. Step 2: Convert to fraction form
    1,833.92/2,530.14 = 1,204.79/x
  3. Step 3: Cross multiply
    1,833.92x = 2,530.14 × 1,204.79
  4. Step 4: Simplify right side
    1,833.92x = 3,048,287.37
  5. Step 5: Solve for x
    x = 3,048,287.37/1,833.92
  6. Step 6: Final answer
    x = 1,662.17

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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.