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Finding the Fourth Proportional to 1,668.35, 2,499.31 and 935.70

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Solution

The fourth proportional to 1,668.35, 2,499.31 and 935.70 is: 1,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.35 : 2,499.31 = 935.70 : x
  2. Step 2: Convert to fraction form
    1,668.35/2,499.31 = 935.70/x
  3. Step 3: Cross multiply
    1,668.35x = 2,499.31 × 935.70
  4. Step 4: Simplify right side
    1,668.35x = 2,338,604.96
  5. Step 5: Solve for x
    x = 2,338,604.96/1,668.35
  6. Step 6: Final answer
    x = 1,401.75

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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.