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Finding the Fourth Proportional to 1,621.05, 2,430.96 and 754.75

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Solution

The fourth proportional to 1,621.05, 2,430.96 and 754.75 is: 1,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.05 : 2,430.96 = 754.75 : x
  2. Step 2: Convert to fraction form
    1,621.05/2,430.96 = 754.75/x
  3. Step 3: Cross multiply
    1,621.05x = 2,430.96 × 754.75
  4. Step 4: Simplify right side
    1,621.05x = 1,834,767.06
  5. Step 5: Solve for x
    x = 1,834,767.06/1,621.05
  6. Step 6: Final answer
    x = 1,131.84

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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.