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Finding the Fourth Proportional to 2,030.73, 3,044.26 and 1,057.51

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Solution

The fourth proportional to 2,030.73, 3,044.26 and 1,057.51 is: 1,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.73 : 3,044.26 = 1,057.51 : x
  2. Step 2: Convert to fraction form
    2,030.73/3,044.26 = 1,057.51/x
  3. Step 3: Cross multiply
    2,030.73x = 3,044.26 × 1,057.51
  4. Step 4: Simplify right side
    2,030.73x = 3,219,335.39
  5. Step 5: Solve for x
    x = 3,219,335.39/2,030.73
  6. Step 6: Final answer
    x = 1,585.31

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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.