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Finding the Fourth Proportional to 1,541.44, 2,311.36 and 674.76

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Solution

The fourth proportional to 1,541.44, 2,311.36 and 674.76 is: 1,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.44 : 2,311.36 = 674.76 : x
  2. Step 2: Convert to fraction form
    1,541.44/2,311.36 = 674.76/x
  3. Step 3: Cross multiply
    1,541.44x = 2,311.36 × 674.76
  4. Step 4: Simplify right side
    1,541.44x = 1,559,613.27
  5. Step 5: Solve for x
    x = 1,559,613.27/1,541.44
  6. Step 6: Final answer
    x = 1,011.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.