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Finding the Fourth Proportional to 2,946.72, 4,420.01 and 866.67

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Solution

The fourth proportional to 2,946.72, 4,420.01 and 866.67 is: 1,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.72 : 4,420.01 = 866.67 : x
  2. Step 2: Convert to fraction form
    2,946.72/4,420.01 = 866.67/x
  3. Step 3: Cross multiply
    2,946.72x = 4,420.01 × 866.67
  4. Step 4: Simplify right side
    2,946.72x = 3,830,685.73
  5. Step 5: Solve for x
    x = 3,830,685.73/2,946.72
  6. Step 6: Final answer
    x = 1,299.98

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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.