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Finding the Fourth Proportional to 2,997.70, 4,496.55 and 1,831.30

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Solution

The fourth proportional to 2,997.70, 4,496.55 and 1,831.30 is: 2,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.70 : 4,496.55 = 1,831.30 : x
  2. Step 2: Convert to fraction form
    2,997.70/4,496.55 = 1,831.30/x
  3. Step 3: Cross multiply
    2,997.70x = 4,496.55 × 1,831.30
  4. Step 4: Simplify right side
    2,997.70x = 8,234,532.02
  5. Step 5: Solve for x
    x = 8,234,532.02/2,997.70
  6. Step 6: Final answer
    x = 2,746.95

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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.