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Finding the Fourth Proportional to 2,383.34, 3,575.97 and 1,085.42

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Solution

The fourth proportional to 2,383.34, 3,575.97 and 1,085.42 is: 1,628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.34 : 3,575.97 = 1,085.42 : x
  2. Step 2: Convert to fraction form
    2,383.34/3,575.97 = 1,085.42/x
  3. Step 3: Cross multiply
    2,383.34x = 3,575.97 × 1,085.42
  4. Step 4: Simplify right side
    2,383.34x = 3,881,429.36
  5. Step 5: Solve for x
    x = 3,881,429.36/2,383.34
  6. Step 6: Final answer
    x = 1,628.57

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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.