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Finding the Fourth Proportional to 3,221.85, 4,833.45 and 1,000.70

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Solution

The fourth proportional to 3,221.85, 4,833.45 and 1,000.70 is: 1,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.85 : 4,833.45 = 1,000.70 : x
  2. Step 2: Convert to fraction form
    3,221.85/4,833.45 = 1,000.70/x
  3. Step 3: Cross multiply
    3,221.85x = 4,833.45 × 1,000.70
  4. Step 4: Simplify right side
    3,221.85x = 4,836,809.25
  5. Step 5: Solve for x
    x = 4,836,809.25/3,221.85
  6. Step 6: Final answer
    x = 1,501.25

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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.