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Finding the Fourth Proportional to 2,350.14, 3,524.93 and 618.90

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Solution

The fourth proportional to 2,350.14, 3,524.93 and 618.90 is: 928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.14 : 3,524.93 = 618.90 : x
  2. Step 2: Convert to fraction form
    2,350.14/3,524.93 = 618.90/x
  3. Step 3: Cross multiply
    2,350.14x = 3,524.93 × 618.90
  4. Step 4: Simplify right side
    2,350.14x = 2,181,579.18
  5. Step 5: Solve for x
    x = 2,181,579.18/2,350.14
  6. Step 6: Final answer
    x = 928.28

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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.