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Finding the Fourth Proportional to 2,697.24, 3,720.06 and 1,765.56

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Solution

The fourth proportional to 2,697.24, 3,720.06 and 1,765.56 is: 2,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.24 : 3,720.06 = 1,765.56 : x
  2. Step 2: Convert to fraction form
    2,697.24/3,720.06 = 1,765.56/x
  3. Step 3: Cross multiply
    2,697.24x = 3,720.06 × 1,765.56
  4. Step 4: Simplify right side
    2,697.24x = 6,567,989.13
  5. Step 5: Solve for x
    x = 6,567,989.13/2,697.24
  6. Step 6: Final answer
    x = 2,435.08

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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.