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Finding the Fourth Proportional to 2,424.72, 3,342.90 and 2,006.76

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Solution

The fourth proportional to 2,424.72, 3,342.90 and 2,006.76 is: 2,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.72 : 3,342.90 = 2,006.76 : x
  2. Step 2: Convert to fraction form
    2,424.72/3,342.90 = 2,006.76/x
  3. Step 3: Cross multiply
    2,424.72x = 3,342.90 × 2,006.76
  4. Step 4: Simplify right side
    2,424.72x = 6,708,398.00
  5. Step 5: Solve for x
    x = 6,708,398.00/2,424.72
  6. Step 6: Final answer
    x = 2,766.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.