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Finding the Fourth Proportional to 1,740.78, 2,609.33 and 1,253.57

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Solution

The fourth proportional to 1,740.78, 2,609.33 and 1,253.57 is: 1,879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.78 : 2,609.33 = 1,253.57 : x
  2. Step 2: Convert to fraction form
    1,740.78/2,609.33 = 1,253.57/x
  3. Step 3: Cross multiply
    1,740.78x = 2,609.33 × 1,253.57
  4. Step 4: Simplify right side
    1,740.78x = 3,270,958.49
  5. Step 5: Solve for x
    x = 3,270,958.49/1,740.78
  6. Step 6: Final answer
    x = 1,879.02

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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.