Home / 1,542.24-2,313.84-446.76

Finding the Fourth Proportional to 1,542.24, 2,313.84 and 446.76

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Solution

The fourth proportional to 1,542.24, 2,313.84 and 446.76 is: 670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.24 : 2,313.84 = 446.76 : x
  2. Step 2: Convert to fraction form
    1,542.24/2,313.84 = 446.76/x
  3. Step 3: Cross multiply
    1,542.24x = 2,313.84 × 446.76
  4. Step 4: Simplify right side
    1,542.24x = 1,033,731.16
  5. Step 5: Solve for x
    x = 1,033,731.16/1,542.24
  6. Step 6: Final answer
    x = 670.28

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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.