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Finding the Fourth Proportional to 1,674.44, 2,309.72 and 1,085.33

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Solution

The fourth proportional to 1,674.44, 2,309.72 and 1,085.33 is: 1,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.44 : 2,309.72 = 1,085.33 : x
  2. Step 2: Convert to fraction form
    1,674.44/2,309.72 = 1,085.33/x
  3. Step 3: Cross multiply
    1,674.44x = 2,309.72 × 1,085.33
  4. Step 4: Simplify right side
    1,674.44x = 2,506,791.43
  5. Step 5: Solve for x
    x = 2,506,791.43/1,674.44
  6. Step 6: Final answer
    x = 1,497.10

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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.