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Finding the Fourth Proportional to 3,102.60, 4,644.66 and 2,003.76

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Solution

The fourth proportional to 3,102.60, 4,644.66 and 2,003.76 is: 2,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.60 : 4,644.66 = 2,003.76 : x
  2. Step 2: Convert to fraction form
    3,102.60/4,644.66 = 2,003.76/x
  3. Step 3: Cross multiply
    3,102.60x = 4,644.66 × 2,003.76
  4. Step 4: Simplify right side
    3,102.60x = 9,306,783.92
  5. Step 5: Solve for x
    x = 9,306,783.92/3,102.60
  6. Step 6: Final answer
    x = 2,999.67

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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.