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Finding the Fourth Proportional to 3,221.86, 4,831.98 and 1,029.46

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Solution

The fourth proportional to 3,221.86, 4,831.98 and 1,029.46 is: 1,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.86 : 4,831.98 = 1,029.46 : x
  2. Step 2: Convert to fraction form
    3,221.86/4,831.98 = 1,029.46/x
  3. Step 3: Cross multiply
    3,221.86x = 4,831.98 × 1,029.46
  4. Step 4: Simplify right side
    3,221.86x = 4,974,330.13
  5. Step 5: Solve for x
    x = 4,974,330.13/3,221.86
  6. Step 6: Final answer
    x = 1,543.93

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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.