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Finding the Fourth Proportional to 1,440.94, 2,162.08 and 747.23

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Solution

The fourth proportional to 1,440.94, 2,162.08 and 747.23 is: 1,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.94 : 2,162.08 = 747.23 : x
  2. Step 2: Convert to fraction form
    1,440.94/2,162.08 = 747.23/x
  3. Step 3: Cross multiply
    1,440.94x = 2,162.08 × 747.23
  4. Step 4: Simplify right side
    1,440.94x = 1,615,556.49
  5. Step 5: Solve for x
    x = 1,615,556.49/1,440.94
  6. Step 6: Final answer
    x = 1,121.19

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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.