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Finding the Fourth Proportional to 2,029.36, 3,044.02 and 623.76

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Solution

The fourth proportional to 2,029.36, 3,044.02 and 623.76 is: 935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.36 : 3,044.02 = 623.76 : x
  2. Step 2: Convert to fraction form
    2,029.36/3,044.02 = 623.76/x
  3. Step 3: Cross multiply
    2,029.36x = 3,044.02 × 623.76
  4. Step 4: Simplify right side
    2,029.36x = 1,898,737.92
  5. Step 5: Solve for x
    x = 1,898,737.92/2,029.36
  6. Step 6: Final answer
    x = 935.63

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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.