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Finding the Fourth Proportional to 4,154.99, 6,233.53 and 1,381.67

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Solution

The fourth proportional to 4,154.99, 6,233.53 and 1,381.67 is: 2,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.99 : 6,233.53 = 1,381.67 : x
  2. Step 2: Convert to fraction form
    4,154.99/6,233.53 = 1,381.67/x
  3. Step 3: Cross multiply
    4,154.99x = 6,233.53 × 1,381.67
  4. Step 4: Simplify right side
    4,154.99x = 8,612,681.40
  5. Step 5: Solve for x
    x = 8,612,681.40/4,154.99
  6. Step 6: Final answer
    x = 2,072.85

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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.