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Finding the Fourth Proportional to 1,945.60, 2,912.92 and 1,748.77

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Solution

The fourth proportional to 1,945.60, 2,912.92 and 1,748.77 is: 2,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.60 : 2,912.92 = 1,748.77 : x
  2. Step 2: Convert to fraction form
    1,945.60/2,912.92 = 1,748.77/x
  3. Step 3: Cross multiply
    1,945.60x = 2,912.92 × 1,748.77
  4. Step 4: Simplify right side
    1,945.60x = 5,094,027.11
  5. Step 5: Solve for x
    x = 5,094,027.11/1,945.60
  6. Step 6: Final answer
    x = 2,618.23

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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.