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Finding the Fourth Proportional to 4,272.28, 6,404.60 and 1,674.60

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Solution

The fourth proportional to 4,272.28, 6,404.60 and 1,674.60 is: 2,510.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.28 : 6,404.60 = 1,674.60 : x
  2. Step 2: Convert to fraction form
    4,272.28/6,404.60 = 1,674.60/x
  3. Step 3: Cross multiply
    4,272.28x = 6,404.60 × 1,674.60
  4. Step 4: Simplify right side
    4,272.28x = 10,725,143.16
  5. Step 5: Solve for x
    x = 10,725,143.16/4,272.28
  6. Step 6: Final answer
    x = 2,510.40

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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.