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Finding the Fourth Proportional to 2,350.20, 3,525.42 and 618.78

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Solution

The fourth proportional to 2,350.20, 3,525.42 and 618.78 is: 928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.20 : 3,525.42 = 618.78 : x
  2. Step 2: Convert to fraction form
    2,350.20/3,525.42 = 618.78/x
  3. Step 3: Cross multiply
    2,350.20x = 3,525.42 × 618.78
  4. Step 4: Simplify right side
    2,350.20x = 2,181,459.39
  5. Step 5: Solve for x
    x = 2,181,459.39/2,350.20
  6. Step 6: Final answer
    x = 928.20

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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.