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Finding the Fourth Proportional to 2,043.72, 3,065.58 and 1,018.44

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Solution

The fourth proportional to 2,043.72, 3,065.58 and 1,018.44 is: 1,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.72 : 3,065.58 = 1,018.44 : x
  2. Step 2: Convert to fraction form
    2,043.72/3,065.58 = 1,018.44/x
  3. Step 3: Cross multiply
    2,043.72x = 3,065.58 × 1,018.44
  4. Step 4: Simplify right side
    2,043.72x = 3,122,109.30
  5. Step 5: Solve for x
    x = 3,122,109.30/2,043.72
  6. Step 6: Final answer
    x = 1,527.66

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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.