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Finding the Fourth Proportional to 1,745.64, 2,618.46 and 1,473.48

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Solution

The fourth proportional to 1,745.64, 2,618.46 and 1,473.48 is: 2,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.64 : 2,618.46 = 1,473.48 : x
  2. Step 2: Convert to fraction form
    1,745.64/2,618.46 = 1,473.48/x
  3. Step 3: Cross multiply
    1,745.64x = 2,618.46 × 1,473.48
  4. Step 4: Simplify right side
    1,745.64x = 3,858,248.44
  5. Step 5: Solve for x
    x = 3,858,248.44/1,745.64
  6. Step 6: Final answer
    x = 2,210.22

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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.