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Finding the Fourth Proportional to 1,788.96, 2,469.96 and 1,200.72

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Solution

The fourth proportional to 1,788.96, 2,469.96 and 1,200.72 is: 1,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.96 : 2,469.96 = 1,200.72 : x
  2. Step 2: Convert to fraction form
    1,788.96/2,469.96 = 1,200.72/x
  3. Step 3: Cross multiply
    1,788.96x = 2,469.96 × 1,200.72
  4. Step 4: Simplify right side
    1,788.96x = 2,965,730.37
  5. Step 5: Solve for x
    x = 2,965,730.37/1,788.96
  6. Step 6: Final answer
    x = 1,657.80

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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.