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Finding the Fourth Proportional to 1,745.99, 2,410.47 and 1,157.33

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Solution

The fourth proportional to 1,745.99, 2,410.47 and 1,157.33 is: 1,597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.99 : 2,410.47 = 1,157.33 : x
  2. Step 2: Convert to fraction form
    1,745.99/2,410.47 = 1,157.33/x
  3. Step 3: Cross multiply
    1,745.99x = 2,410.47 × 1,157.33
  4. Step 4: Simplify right side
    1,745.99x = 2,789,691.41
  5. Step 5: Solve for x
    x = 2,789,691.41/1,745.99
  6. Step 6: Final answer
    x = 1,597.77

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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.