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Finding the Fourth Proportional to 3,274.48, 4,909.56 and 1,608.40

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Solution

The fourth proportional to 3,274.48, 4,909.56 and 1,608.40 is: 2,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.48 : 4,909.56 = 1,608.40 : x
  2. Step 2: Convert to fraction form
    3,274.48/4,909.56 = 1,608.40/x
  3. Step 3: Cross multiply
    3,274.48x = 4,909.56 × 1,608.40
  4. Step 4: Simplify right side
    3,274.48x = 7,896,536.30
  5. Step 5: Solve for x
    x = 7,896,536.30/3,274.48
  6. Step 6: Final answer
    x = 2,411.54

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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.