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Finding the Fourth Proportional to 2,697.72, 3,720.06 and 1,911.48

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Solution

The fourth proportional to 2,697.72, 3,720.06 and 1,911.48 is: 2,635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.72 : 3,720.06 = 1,911.48 : x
  2. Step 2: Convert to fraction form
    2,697.72/3,720.06 = 1,911.48/x
  3. Step 3: Cross multiply
    2,697.72x = 3,720.06 × 1,911.48
  4. Step 4: Simplify right side
    2,697.72x = 7,110,820.29
  5. Step 5: Solve for x
    x = 7,110,820.29/2,697.72
  6. Step 6: Final answer
    x = 2,635.86

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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.