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Finding the Fourth Proportional to 1,445.81, 1,996.14 and 1,003.55

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Solution

The fourth proportional to 1,445.81, 1,996.14 and 1,003.55 is: 1,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.81 : 1,996.14 = 1,003.55 : x
  2. Step 2: Convert to fraction form
    1,445.81/1,996.14 = 1,003.55/x
  3. Step 3: Cross multiply
    1,445.81x = 1,996.14 × 1,003.55
  4. Step 4: Simplify right side
    1,445.81x = 2,003,226.30
  5. Step 5: Solve for x
    x = 2,003,226.30/1,445.81
  6. Step 6: Final answer
    x = 1,385.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.