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Finding the Fourth Proportional to 1,769.20, 2,653.40 and 674.08

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Solution

The fourth proportional to 1,769.20, 2,653.40 and 674.08 is: 1,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.20 : 2,653.40 = 674.08 : x
  2. Step 2: Convert to fraction form
    1,769.20/2,653.40 = 674.08/x
  3. Step 3: Cross multiply
    1,769.20x = 2,653.40 × 674.08
  4. Step 4: Simplify right side
    1,769.20x = 1,788,603.87
  5. Step 5: Solve for x
    x = 1,788,603.87/1,769.20
  6. Step 6: Final answer
    x = 1,010.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.