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Finding the Fourth Proportional to 1,621.70, 2,431.78 and 928.18

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Solution

The fourth proportional to 1,621.70, 2,431.78 and 928.18 is: 1,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.70 : 2,431.78 = 928.18 : x
  2. Step 2: Convert to fraction form
    1,621.70/2,431.78 = 928.18/x
  3. Step 3: Cross multiply
    1,621.70x = 2,431.78 × 928.18
  4. Step 4: Simplify right side
    1,621.70x = 2,257,143.65
  5. Step 5: Solve for x
    x = 2,257,143.65/1,621.70
  6. Step 6: Final answer
    x = 1,391.84

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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.