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Finding the Fourth Proportional to 1,746.64, 2,620.86 and 1,199.26

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Solution

The fourth proportional to 1,746.64, 2,620.86 and 1,199.26 is: 1,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.64 : 2,620.86 = 1,199.26 : x
  2. Step 2: Convert to fraction form
    1,746.64/2,620.86 = 1,199.26/x
  3. Step 3: Cross multiply
    1,746.64x = 2,620.86 × 1,199.26
  4. Step 4: Simplify right side
    1,746.64x = 3,143,092.56
  5. Step 5: Solve for x
    x = 3,143,092.56/1,746.64
  6. Step 6: Final answer
    x = 1,799.51

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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.