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Finding the Fourth Proportional to 1,789.40, 2,470.23 and 1,192.88

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Solution

The fourth proportional to 1,789.40, 2,470.23 and 1,192.88 is: 1,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.40 : 2,470.23 = 1,192.88 : x
  2. Step 2: Convert to fraction form
    1,789.40/2,470.23 = 1,192.88/x
  3. Step 3: Cross multiply
    1,789.40x = 2,470.23 × 1,192.88
  4. Step 4: Simplify right side
    1,789.40x = 2,946,694.14
  5. Step 5: Solve for x
    x = 2,946,694.14/1,789.40
  6. Step 6: Final answer
    x = 1,646.75

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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.