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Finding the Fourth Proportional to 1,537.13, 2,305.85 and 441.66

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Solution

The fourth proportional to 1,537.13, 2,305.85 and 441.66 is: 662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.13 : 2,305.85 = 441.66 : x
  2. Step 2: Convert to fraction form
    1,537.13/2,305.85 = 441.66/x
  3. Step 3: Cross multiply
    1,537.13x = 2,305.85 × 441.66
  4. Step 4: Simplify right side
    1,537.13x = 1,018,397.66
  5. Step 5: Solve for x
    x = 1,018,397.66/1,537.13
  6. Step 6: Final answer
    x = 662.53

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