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Finding the Fourth Proportional to 2,044.86, 3,062.94 and 950.10

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Solution

The fourth proportional to 2,044.86, 3,062.94 and 950.10 is: 1,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.86 : 3,062.94 = 950.10 : x
  2. Step 2: Convert to fraction form
    2,044.86/3,062.94 = 950.10/x
  3. Step 3: Cross multiply
    2,044.86x = 3,062.94 × 950.10
  4. Step 4: Simplify right side
    2,044.86x = 2,910,099.29
  5. Step 5: Solve for x
    x = 2,910,099.29/2,044.86
  6. Step 6: Final answer
    x = 1,423.13

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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.