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Finding the Fourth Proportional to 2,188.96, 3,021.60 and 1,403.68

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Solution

The fourth proportional to 2,188.96, 3,021.60 and 1,403.68 is: 1,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.96 : 3,021.60 = 1,403.68 : x
  2. Step 2: Convert to fraction form
    2,188.96/3,021.60 = 1,403.68/x
  3. Step 3: Cross multiply
    2,188.96x = 3,021.60 × 1,403.68
  4. Step 4: Simplify right side
    2,188.96x = 4,241,359.49
  5. Step 5: Solve for x
    x = 4,241,359.49/2,188.96
  6. Step 6: Final answer
    x = 1,937.61

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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.