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Finding the Fourth Proportional to 2,645.21, 3,967.77 and 913.79

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Solution

The fourth proportional to 2,645.21, 3,967.77 and 913.79 is: 1,370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.21 : 3,967.77 = 913.79 : x
  2. Step 2: Convert to fraction form
    2,645.21/3,967.77 = 913.79/x
  3. Step 3: Cross multiply
    2,645.21x = 3,967.77 × 913.79
  4. Step 4: Simplify right side
    2,645.21x = 3,625,708.55
  5. Step 5: Solve for x
    x = 3,625,708.55/2,645.21
  6. Step 6: Final answer
    x = 1,370.67

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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.