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Finding the Fourth Proportional to 1,222.24, 1,829.10 and 1,000.30

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Solution

The fourth proportional to 1,222.24, 1,829.10 and 1,000.30 is: 1,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.24 : 1,829.10 = 1,000.30 : x
  2. Step 2: Convert to fraction form
    1,222.24/1,829.10 = 1,000.30/x
  3. Step 3: Cross multiply
    1,222.24x = 1,829.10 × 1,000.30
  4. Step 4: Simplify right side
    1,222.24x = 1,829,648.73
  5. Step 5: Solve for x
    x = 1,829,648.73/1,222.24
  6. Step 6: Final answer
    x = 1,496.96

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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.