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Finding the Fourth Proportional to 1,542.57, 2,313.90 and 446.94

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Solution

The fourth proportional to 1,542.57, 2,313.90 and 446.94 is: 670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.57 : 2,313.90 = 446.94 : x
  2. Step 2: Convert to fraction form
    1,542.57/2,313.90 = 446.94/x
  3. Step 3: Cross multiply
    1,542.57x = 2,313.90 × 446.94
  4. Step 4: Simplify right side
    1,542.57x = 1,034,174.47
  5. Step 5: Solve for x
    x = 1,034,174.47/1,542.57
  6. Step 6: Final answer
    x = 670.42

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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.