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Finding the Fourth Proportional to 1,537.63, 2,306.17 and 441.76

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Solution

The fourth proportional to 1,537.63, 2,306.17 and 441.76 is: 662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.63 : 2,306.17 = 441.76 : x
  2. Step 2: Convert to fraction form
    1,537.63/2,306.17 = 441.76/x
  3. Step 3: Cross multiply
    1,537.63x = 2,306.17 × 441.76
  4. Step 4: Simplify right side
    1,537.63x = 1,018,773.66
  5. Step 5: Solve for x
    x = 1,018,773.66/1,537.63
  6. Step 6: Final answer
    x = 662.56

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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.