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Finding the Fourth Proportional to 2,027.48, 2,797.98 and 1,188.74

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Solution

The fourth proportional to 2,027.48, 2,797.98 and 1,188.74 is: 1,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.48 : 2,797.98 = 1,188.74 : x
  2. Step 2: Convert to fraction form
    2,027.48/2,797.98 = 1,188.74/x
  3. Step 3: Cross multiply
    2,027.48x = 2,797.98 × 1,188.74
  4. Step 4: Simplify right side
    2,027.48x = 3,326,070.75
  5. Step 5: Solve for x
    x = 3,326,070.75/2,027.48
  6. Step 6: Final answer
    x = 1,640.49

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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.