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Finding the Fourth Proportional to 3,173.10, 4,759.65 and 952.02

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Solution

The fourth proportional to 3,173.10, 4,759.65 and 952.02 is: 1,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.10 : 4,759.65 = 952.02 : x
  2. Step 2: Convert to fraction form
    3,173.10/4,759.65 = 952.02/x
  3. Step 3: Cross multiply
    3,173.10x = 4,759.65 × 952.02
  4. Step 4: Simplify right side
    3,173.10x = 4,531,281.99
  5. Step 5: Solve for x
    x = 4,531,281.99/3,173.10
  6. Step 6: Final answer
    x = 1,428.03

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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.