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Finding the Fourth Proportional to 3,057.72, 4,587.44 and 1,302.81

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Solution

The fourth proportional to 3,057.72, 4,587.44 and 1,302.81 is: 1,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.72 : 4,587.44 = 1,302.81 : x
  2. Step 2: Convert to fraction form
    3,057.72/4,587.44 = 1,302.81/x
  3. Step 3: Cross multiply
    3,057.72x = 4,587.44 × 1,302.81
  4. Step 4: Simplify right side
    3,057.72x = 5,976,556.19
  5. Step 5: Solve for x
    x = 5,976,556.19/3,057.72
  6. Step 6: Final answer
    x = 1,954.58

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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.