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Finding the Fourth Proportional to 3,099.95, 4,651.29 and 1,254.67

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Solution

The fourth proportional to 3,099.95, 4,651.29 and 1,254.67 is: 1,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.95 : 4,651.29 = 1,254.67 : x
  2. Step 2: Convert to fraction form
    3,099.95/4,651.29 = 1,254.67/x
  3. Step 3: Cross multiply
    3,099.95x = 4,651.29 × 1,254.67
  4. Step 4: Simplify right side
    3,099.95x = 5,835,834.02
  5. Step 5: Solve for x
    x = 5,835,834.02/3,099.95
  6. Step 6: Final answer
    x = 1,882.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.