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Finding the Fourth Proportional to 4,666.41, 6,994.76 and 2,202.80

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Solution

The fourth proportional to 4,666.41, 6,994.76 and 2,202.80 is: 3,301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.41 : 6,994.76 = 2,202.80 : x
  2. Step 2: Convert to fraction form
    4,666.41/6,994.76 = 2,202.80/x
  3. Step 3: Cross multiply
    4,666.41x = 6,994.76 × 2,202.80
  4. Step 4: Simplify right side
    4,666.41x = 15,408,011.34
  5. Step 5: Solve for x
    x = 15,408,011.34/4,666.41
  6. Step 6: Final answer
    x = 3,301.90

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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.