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Finding the Fourth Proportional to 2,068.53, 3,103.31 and 1,029.03

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Solution

The fourth proportional to 2,068.53, 3,103.31 and 1,029.03 is: 1,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.53 : 3,103.31 = 1,029.03 : x
  2. Step 2: Convert to fraction form
    2,068.53/3,103.31 = 1,029.03/x
  3. Step 3: Cross multiply
    2,068.53x = 3,103.31 × 1,029.03
  4. Step 4: Simplify right side
    2,068.53x = 3,193,393.94
  5. Step 5: Solve for x
    x = 3,193,393.94/2,068.53
  6. Step 6: Final answer
    x = 1,543.80

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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.