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Finding the Fourth Proportional to 3,102.27, 4,281.20 and 1,705.02

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Solution

The fourth proportional to 3,102.27, 4,281.20 and 1,705.02 is: 2,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.27 : 4,281.20 = 1,705.02 : x
  2. Step 2: Convert to fraction form
    3,102.27/4,281.20 = 1,705.02/x
  3. Step 3: Cross multiply
    3,102.27x = 4,281.20 × 1,705.02
  4. Step 4: Simplify right side
    3,102.27x = 7,299,531.62
  5. Step 5: Solve for x
    x = 7,299,531.62/3,102.27
  6. Step 6: Final answer
    x = 2,352.96

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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.