Home / 1,537.24-2,306.16-441.61

Finding the Fourth Proportional to 1,537.24, 2,306.16 and 441.61

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Solution

The fourth proportional to 1,537.24, 2,306.16 and 441.61 is: 662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.24 : 2,306.16 = 441.61 : x
  2. Step 2: Convert to fraction form
    1,537.24/2,306.16 = 441.61/x
  3. Step 3: Cross multiply
    1,537.24x = 2,306.16 × 441.61
  4. Step 4: Simplify right side
    1,537.24x = 1,018,423.32
  5. Step 5: Solve for x
    x = 1,018,423.32/1,537.24
  6. Step 6: Final answer
    x = 662.50

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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.