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Finding the Fourth Proportional to 3,011.96, 4,517.40 and 1,256.96

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Solution

The fourth proportional to 3,011.96, 4,517.40 and 1,256.96 is: 1,885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.96 : 4,517.40 = 1,256.96 : x
  2. Step 2: Convert to fraction form
    3,011.96/4,517.40 = 1,256.96/x
  3. Step 3: Cross multiply
    3,011.96x = 4,517.40 × 1,256.96
  4. Step 4: Simplify right side
    3,011.96x = 5,678,191.10
  5. Step 5: Solve for x
    x = 5,678,191.10/3,011.96
  6. Step 6: Final answer
    x = 1,885.21

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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.