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Finding the Fourth Proportional to 2,035.69, 2,805.24 and 1,445.20

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Solution

The fourth proportional to 2,035.69, 2,805.24 and 1,445.20 is: 1,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.69 : 2,805.24 = 1,445.20 : x
  2. Step 2: Convert to fraction form
    2,035.69/2,805.24 = 1,445.20/x
  3. Step 3: Cross multiply
    2,035.69x = 2,805.24 × 1,445.20
  4. Step 4: Simplify right side
    2,035.69x = 4,054,132.85
  5. Step 5: Solve for x
    x = 4,054,132.85/2,035.69
  6. Step 6: Final answer
    x = 1,991.53

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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.