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Finding the Fourth Proportional to 3,171.40, 4,755.62 and 1,690.25

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Solution

The fourth proportional to 3,171.40, 4,755.62 and 1,690.25 is: 2,534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.40 : 4,755.62 = 1,690.25 : x
  2. Step 2: Convert to fraction form
    3,171.40/4,755.62 = 1,690.25/x
  3. Step 3: Cross multiply
    3,171.40x = 4,755.62 × 1,690.25
  4. Step 4: Simplify right side
    3,171.40x = 8,038,167.15
  5. Step 5: Solve for x
    x = 8,038,167.15/3,171.40
  6. Step 6: Final answer
    x = 2,534.58

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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.