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Finding the Fourth Proportional to 1,544.48, 2,321.74 and 1,239.67

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Solution

The fourth proportional to 1,544.48, 2,321.74 and 1,239.67 is: 1,863.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.48 : 2,321.74 = 1,239.67 : x
  2. Step 2: Convert to fraction form
    1,544.48/2,321.74 = 1,239.67/x
  3. Step 3: Cross multiply
    1,544.48x = 2,321.74 × 1,239.67
  4. Step 4: Simplify right side
    1,544.48x = 2,878,191.43
  5. Step 5: Solve for x
    x = 2,878,191.43/1,544.48
  6. Step 6: Final answer
    x = 1,863.53

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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.