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Finding the Fourth Proportional to 3,210.25, 4,816.19 and 901.75

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Solution

The fourth proportional to 3,210.25, 4,816.19 and 901.75 is: 1,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.25 : 4,816.19 = 901.75 : x
  2. Step 2: Convert to fraction form
    3,210.25/4,816.19 = 901.75/x
  3. Step 3: Cross multiply
    3,210.25x = 4,816.19 × 901.75
  4. Step 4: Simplify right side
    3,210.25x = 4,342,999.33
  5. Step 5: Solve for x
    x = 4,342,999.33/3,210.25
  6. Step 6: Final answer
    x = 1,352.85

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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.