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Finding the Fourth Proportional to 3,099.66, 4,650.50 and 1,456.37

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Solution

The fourth proportional to 3,099.66, 4,650.50 and 1,456.37 is: 2,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.66 : 4,650.50 = 1,456.37 : x
  2. Step 2: Convert to fraction form
    3,099.66/4,650.50 = 1,456.37/x
  3. Step 3: Cross multiply
    3,099.66x = 4,650.50 × 1,456.37
  4. Step 4: Simplify right side
    3,099.66x = 6,772,848.69
  5. Step 5: Solve for x
    x = 6,772,848.69/3,099.66
  6. Step 6: Final answer
    x = 2,185.03

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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.