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Finding the Fourth Proportional to 2,277.70, 3,416.74 and 1,668.98

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Solution

The fourth proportional to 2,277.70, 3,416.74 and 1,668.98 is: 2,503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.70 : 3,416.74 = 1,668.98 : x
  2. Step 2: Convert to fraction form
    2,277.70/3,416.74 = 1,668.98/x
  3. Step 3: Cross multiply
    2,277.70x = 3,416.74 × 1,668.98
  4. Step 4: Simplify right side
    2,277.70x = 5,702,470.73
  5. Step 5: Solve for x
    x = 5,702,470.73/2,277.70
  6. Step 6: Final answer
    x = 2,503.61

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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.