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Finding the Fourth Proportional to 4,602.98, 6,906.10 and 1,831.56

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Solution

The fourth proportional to 4,602.98, 6,906.10 and 1,831.56 is: 2,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.98 : 6,906.10 = 1,831.56 : x
  2. Step 2: Convert to fraction form
    4,602.98/6,906.10 = 1,831.56/x
  3. Step 3: Cross multiply
    4,602.98x = 6,906.10 × 1,831.56
  4. Step 4: Simplify right side
    4,602.98x = 12,648,936.52
  5. Step 5: Solve for x
    x = 12,648,936.52/4,602.98
  6. Step 6: Final answer
    x = 2,747.99

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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.