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Finding the Fourth Proportional to 3,221.95, 4,831.57 and 1,030.09

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Solution

The fourth proportional to 3,221.95, 4,831.57 and 1,030.09 is: 1,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.95 : 4,831.57 = 1,030.09 : x
  2. Step 2: Convert to fraction form
    3,221.95/4,831.57 = 1,030.09/x
  3. Step 3: Cross multiply
    3,221.95x = 4,831.57 × 1,030.09
  4. Step 4: Simplify right side
    3,221.95x = 4,976,951.94
  5. Step 5: Solve for x
    x = 4,976,951.94/3,221.95
  6. Step 6: Final answer
    x = 1,544.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.