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Finding the Fourth Proportional to 1,245.23, 1,869.06 and 949.98

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Solution

The fourth proportional to 1,245.23, 1,869.06 and 949.98 is: 1,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.23 : 1,869.06 = 949.98 : x
  2. Step 2: Convert to fraction form
    1,245.23/1,869.06 = 949.98/x
  3. Step 3: Cross multiply
    1,245.23x = 1,869.06 × 949.98
  4. Step 4: Simplify right side
    1,245.23x = 1,775,569.62
  5. Step 5: Solve for x
    x = 1,775,569.62/1,245.23
  6. Step 6: Final answer
    x = 1,425.90

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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.