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Finding the Fourth Proportional to 2,745.12, 3,788.16 and 1,697.52

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Solution

The fourth proportional to 2,745.12, 3,788.16 and 1,697.52 is: 2,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.12 : 3,788.16 = 1,697.52 : x
  2. Step 2: Convert to fraction form
    2,745.12/3,788.16 = 1,697.52/x
  3. Step 3: Cross multiply
    2,745.12x = 3,788.16 × 1,697.52
  4. Step 4: Simplify right side
    2,745.12x = 6,430,477.36
  5. Step 5: Solve for x
    x = 6,430,477.36/2,745.12
  6. Step 6: Final answer
    x = 2,342.51

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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.