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Finding the Fourth Proportional to 1,645.72, 2,447.42 and 1,593.81

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Solution

The fourth proportional to 1,645.72, 2,447.42 and 1,593.81 is: 2,370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.72 : 2,447.42 = 1,593.81 : x
  2. Step 2: Convert to fraction form
    1,645.72/2,447.42 = 1,593.81/x
  3. Step 3: Cross multiply
    1,645.72x = 2,447.42 × 1,593.81
  4. Step 4: Simplify right side
    1,645.72x = 3,900,714.50
  5. Step 5: Solve for x
    x = 3,900,714.50/1,645.72
  6. Step 6: Final answer
    x = 2,370.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.