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Finding the Fourth Proportional to 2,030.13, 3,043.38 and 731.31

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Solution

The fourth proportional to 2,030.13, 3,043.38 and 731.31 is: 1,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.13 : 3,043.38 = 731.31 : x
  2. Step 2: Convert to fraction form
    2,030.13/3,043.38 = 731.31/x
  3. Step 3: Cross multiply
    2,030.13x = 3,043.38 × 731.31
  4. Step 4: Simplify right side
    2,030.13x = 2,225,654.23
  5. Step 5: Solve for x
    x = 2,225,654.23/2,030.13
  6. Step 6: Final answer
    x = 1,096.31

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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.