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Finding the Fourth Proportional to 1,745.87, 2,410.35 and 1,149.30

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Solution

The fourth proportional to 1,745.87, 2,410.35 and 1,149.30 is: 1,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.87 : 2,410.35 = 1,149.30 : x
  2. Step 2: Convert to fraction form
    1,745.87/2,410.35 = 1,149.30/x
  3. Step 3: Cross multiply
    1,745.87x = 2,410.35 × 1,149.30
  4. Step 4: Simplify right side
    1,745.87x = 2,770,215.26
  5. Step 5: Solve for x
    x = 2,770,215.26/1,745.87
  6. Step 6: Final answer
    x = 1,586.72

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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.