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Finding the Fourth Proportional to 2,697.18, 3,722.28 and 2,032.86

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Solution

The fourth proportional to 2,697.18, 3,722.28 and 2,032.86 is: 2,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.18 : 3,722.28 = 2,032.86 : x
  2. Step 2: Convert to fraction form
    2,697.18/3,722.28 = 2,032.86/x
  3. Step 3: Cross multiply
    2,697.18x = 3,722.28 × 2,032.86
  4. Step 4: Simplify right side
    2,697.18x = 7,566,874.12
  5. Step 5: Solve for x
    x = 7,566,874.12/2,697.18
  6. Step 6: Final answer
    x = 2,805.48

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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.