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Finding the Fourth Proportional to 2,073.39, 3,105.99 and 1,030.23

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Solution

The fourth proportional to 2,073.39, 3,105.99 and 1,030.23 is: 1,543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.39 : 3,105.99 = 1,030.23 : x
  2. Step 2: Convert to fraction form
    2,073.39/3,105.99 = 1,030.23/x
  3. Step 3: Cross multiply
    2,073.39x = 3,105.99 × 1,030.23
  4. Step 4: Simplify right side
    2,073.39x = 3,199,884.08
  5. Step 5: Solve for x
    x = 3,199,884.08/2,073.39
  6. Step 6: Final answer
    x = 1,543.31

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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.