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Finding the Fourth Proportional to 3,233.96, 4,853.82 and 1,503.56

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Solution

The fourth proportional to 3,233.96, 4,853.82 and 1,503.56 is: 2,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.96 : 4,853.82 = 1,503.56 : x
  2. Step 2: Convert to fraction form
    3,233.96/4,853.82 = 1,503.56/x
  3. Step 3: Cross multiply
    3,233.96x = 4,853.82 × 1,503.56
  4. Step 4: Simplify right side
    3,233.96x = 7,298,009.60
  5. Step 5: Solve for x
    x = 7,298,009.60/3,233.96
  6. Step 6: Final answer
    x = 2,256.68

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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.