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Finding the Fourth Proportional to 2,443.13, 3,664.76 and 711.77

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Solution

The fourth proportional to 2,443.13, 3,664.76 and 711.77 is: 1,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.13 : 3,664.76 = 711.77 : x
  2. Step 2: Convert to fraction form
    2,443.13/3,664.76 = 711.77/x
  3. Step 3: Cross multiply
    2,443.13x = 3,664.76 × 711.77
  4. Step 4: Simplify right side
    2,443.13x = 2,608,466.23
  5. Step 5: Solve for x
    x = 2,608,466.23/2,443.13
  6. Step 6: Final answer
    x = 1,067.67

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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.