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Finding the Fourth Proportional to 3,214.14, 4,435.50 and 1,742.14

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Solution

The fourth proportional to 3,214.14, 4,435.50 and 1,742.14 is: 2,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.14 : 4,435.50 = 1,742.14 : x
  2. Step 2: Convert to fraction form
    3,214.14/4,435.50 = 1,742.14/x
  3. Step 3: Cross multiply
    3,214.14x = 4,435.50 × 1,742.14
  4. Step 4: Simplify right side
    3,214.14x = 7,727,261.97
  5. Step 5: Solve for x
    x = 7,727,261.97/3,214.14
  6. Step 6: Final answer
    x = 2,404.15

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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.