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Finding the Fourth Proportional to 3,102.56, 4,654.34 and 1,021.96

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Solution

The fourth proportional to 3,102.56, 4,654.34 and 1,021.96 is: 1,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.56 : 4,654.34 = 1,021.96 : x
  2. Step 2: Convert to fraction form
    3,102.56/4,654.34 = 1,021.96/x
  3. Step 3: Cross multiply
    3,102.56x = 4,654.34 × 1,021.96
  4. Step 4: Simplify right side
    3,102.56x = 4,756,549.31
  5. Step 5: Solve for x
    x = 4,756,549.31/3,102.56
  6. Step 6: Final answer
    x = 1,533.10

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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.