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Finding the Fourth Proportional to 2,044.06, 3,065.12 and 1,428.46

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Solution

The fourth proportional to 2,044.06, 3,065.12 and 1,428.46 is: 2,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.06 : 3,065.12 = 1,428.46 : x
  2. Step 2: Convert to fraction form
    2,044.06/3,065.12 = 1,428.46/x
  3. Step 3: Cross multiply
    2,044.06x = 3,065.12 × 1,428.46
  4. Step 4: Simplify right side
    2,044.06x = 4,378,401.32
  5. Step 5: Solve for x
    x = 4,378,401.32/2,044.06
  6. Step 6: Final answer
    x = 2,142.01

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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.