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Finding the Fourth Proportional to 2,105.02, 3,156.77 and 623.80

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Solution

The fourth proportional to 2,105.02, 3,156.77 and 623.80 is: 935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.02 : 3,156.77 = 623.80 : x
  2. Step 2: Convert to fraction form
    2,105.02/3,156.77 = 623.80/x
  3. Step 3: Cross multiply
    2,105.02x = 3,156.77 × 623.80
  4. Step 4: Simplify right side
    2,105.02x = 1,969,193.13
  5. Step 5: Solve for x
    x = 1,969,193.13/2,105.02
  6. Step 6: Final answer
    x = 935.47

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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.