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Finding the Fourth Proportional to 3,210.93, 4,816.68 and 902.43

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Solution

The fourth proportional to 3,210.93, 4,816.68 and 902.43 is: 1,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.93 : 4,816.68 = 902.43 : x
  2. Step 2: Convert to fraction form
    3,210.93/4,816.68 = 902.43/x
  3. Step 3: Cross multiply
    3,210.93x = 4,816.68 × 902.43
  4. Step 4: Simplify right side
    3,210.93x = 4,346,716.53
  5. Step 5: Solve for x
    x = 4,346,716.53/3,210.93
  6. Step 6: Final answer
    x = 1,353.73

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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.