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Finding the Fourth Proportional to 3,099.66, 4,650.12 and 1,019.82

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Solution

The fourth proportional to 3,099.66, 4,650.12 and 1,019.82 is: 1,529.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.66 : 4,650.12 = 1,019.82 : x
  2. Step 2: Convert to fraction form
    3,099.66/4,650.12 = 1,019.82/x
  3. Step 3: Cross multiply
    3,099.66x = 4,650.12 × 1,019.82
  4. Step 4: Simplify right side
    3,099.66x = 4,742,285.38
  5. Step 5: Solve for x
    x = 4,742,285.38/3,099.66
  6. Step 6: Final answer
    x = 1,529.94

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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.