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Finding the Fourth Proportional to 2,188.60, 3,280.02 and 1,034.68

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Solution

The fourth proportional to 2,188.60, 3,280.02 and 1,034.68 is: 1,550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.60 : 3,280.02 = 1,034.68 : x
  2. Step 2: Convert to fraction form
    2,188.60/3,280.02 = 1,034.68/x
  3. Step 3: Cross multiply
    2,188.60x = 3,280.02 × 1,034.68
  4. Step 4: Simplify right side
    2,188.60x = 3,393,771.09
  5. Step 5: Solve for x
    x = 3,393,771.09/2,188.60
  6. Step 6: Final answer
    x = 1,550.66

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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.