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Finding the Fourth Proportional to 2,901.21, 4,350.39 and 952.75

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Solution

The fourth proportional to 2,901.21, 4,350.39 and 952.75 is: 1,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.21 : 4,350.39 = 952.75 : x
  2. Step 2: Convert to fraction form
    2,901.21/4,350.39 = 952.75/x
  3. Step 3: Cross multiply
    2,901.21x = 4,350.39 × 952.75
  4. Step 4: Simplify right side
    2,901.21x = 4,144,834.07
  5. Step 5: Solve for x
    x = 4,144,834.07/2,901.21
  6. Step 6: Final answer
    x = 1,428.66

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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.