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Finding the Fourth Proportional to 2,188.60, 3,278.04 and 1,697.80

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Solution

The fourth proportional to 2,188.60, 3,278.04 and 1,697.80 is: 2,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.60 : 3,278.04 = 1,697.80 : x
  2. Step 2: Convert to fraction form
    2,188.60/3,278.04 = 1,697.80/x
  3. Step 3: Cross multiply
    2,188.60x = 3,278.04 × 1,697.80
  4. Step 4: Simplify right side
    2,188.60x = 5,565,456.31
  5. Step 5: Solve for x
    x = 5,565,456.31/2,188.60
  6. Step 6: Final answer
    x = 2,542.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.