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Finding the Fourth Proportional to 1,930.90, 2,664.93 and 1,635.70

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Solution

The fourth proportional to 1,930.90, 2,664.93 and 1,635.70 is: 2,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.90 : 2,664.93 = 1,635.70 : x
  2. Step 2: Convert to fraction form
    1,930.90/2,664.93 = 1,635.70/x
  3. Step 3: Cross multiply
    1,930.90x = 2,664.93 × 1,635.70
  4. Step 4: Simplify right side
    1,930.90x = 4,359,026.00
  5. Step 5: Solve for x
    x = 4,359,026.00/1,930.90
  6. Step 6: Final answer
    x = 2,257.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.