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Finding the Fourth Proportional to 1,537.05, 2,305.94 and 441.39

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Solution

The fourth proportional to 1,537.05, 2,305.94 and 441.39 is: 662.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.05 : 2,305.94 = 441.39 : x
  2. Step 2: Convert to fraction form
    1,537.05/2,305.94 = 441.39/x
  3. Step 3: Cross multiply
    1,537.05x = 2,305.94 × 441.39
  4. Step 4: Simplify right side
    1,537.05x = 1,017,818.86
  5. Step 5: Solve for x
    x = 1,017,818.86/1,537.05
  6. Step 6: Final answer
    x = 662.19

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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.