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Finding the Fourth Proportional to 2,053.91, 3,081.03 and 593.08

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Solution

The fourth proportional to 2,053.91, 3,081.03 and 593.08 is: 889.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.91 : 3,081.03 = 593.08 : x
  2. Step 2: Convert to fraction form
    2,053.91/3,081.03 = 593.08/x
  3. Step 3: Cross multiply
    2,053.91x = 3,081.03 × 593.08
  4. Step 4: Simplify right side
    2,053.91x = 1,827,297.27
  5. Step 5: Solve for x
    x = 1,827,297.27/2,053.91
  6. Step 6: Final answer
    x = 889.67

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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.