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Finding the Fourth Proportional to 2,922.94, 4,380.54 and 1,749.16

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Solution

The fourth proportional to 2,922.94, 4,380.54 and 1,749.16 is: 2,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.94 : 4,380.54 = 1,749.16 : x
  2. Step 2: Convert to fraction form
    2,922.94/4,380.54 = 1,749.16/x
  3. Step 3: Cross multiply
    2,922.94x = 4,380.54 × 1,749.16
  4. Step 4: Simplify right side
    2,922.94x = 7,662,265.35
  5. Step 5: Solve for x
    x = 7,662,265.35/2,922.94
  6. Step 6: Final answer
    x = 2,621.42

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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.