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Finding the Fourth Proportional to 2,044.10, 3,065.36 and 873.36

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Solution

The fourth proportional to 2,044.10, 3,065.36 and 873.36 is: 1,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.10 : 3,065.36 = 873.36 : x
  2. Step 2: Convert to fraction form
    2,044.10/3,065.36 = 873.36/x
  3. Step 3: Cross multiply
    2,044.10x = 3,065.36 × 873.36
  4. Step 4: Simplify right side
    2,044.10x = 2,677,162.81
  5. Step 5: Solve for x
    x = 2,677,162.81/2,044.10
  6. Step 6: Final answer
    x = 1,309.70

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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.