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Finding the Fourth Proportional to 1,674.08, 2,310.20 and 928.04

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Solution

The fourth proportional to 1,674.08, 2,310.20 and 928.04 is: 1,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.08 : 2,310.20 = 928.04 : x
  2. Step 2: Convert to fraction form
    1,674.08/2,310.20 = 928.04/x
  3. Step 3: Cross multiply
    1,674.08x = 2,310.20 × 928.04
  4. Step 4: Simplify right side
    1,674.08x = 2,143,958.01
  5. Step 5: Solve for x
    x = 2,143,958.01/1,674.08
  6. Step 6: Final answer
    x = 1,280.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.