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Finding the Fourth Proportional to 1,245.48, 1,869.44 and 950.23

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Solution

The fourth proportional to 1,245.48, 1,869.44 and 950.23 is: 1,426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.48 : 1,869.44 = 950.23 : x
  2. Step 2: Convert to fraction form
    1,245.48/1,869.44 = 950.23/x
  3. Step 3: Cross multiply
    1,245.48x = 1,869.44 × 950.23
  4. Step 4: Simplify right side
    1,245.48x = 1,776,397.97
  5. Step 5: Solve for x
    x = 1,776,397.97/1,245.48
  6. Step 6: Final answer
    x = 1,426.28

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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.