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Finding the Fourth Proportional to 1,674.38, 2,510.72 and 563.42

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Solution

The fourth proportional to 1,674.38, 2,510.72 and 563.42 is: 844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.38 : 2,510.72 = 563.42 : x
  2. Step 2: Convert to fraction form
    1,674.38/2,510.72 = 563.42/x
  3. Step 3: Cross multiply
    1,674.38x = 2,510.72 × 563.42
  4. Step 4: Simplify right side
    1,674.38x = 1,414,589.86
  5. Step 5: Solve for x
    x = 1,414,589.86/1,674.38
  6. Step 6: Final answer
    x = 844.84

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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.