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Finding the Fourth Proportional to 3,272.60, 4,907.10 and 1,423.40

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Solution

The fourth proportional to 3,272.60, 4,907.10 and 1,423.40 is: 2,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.60 : 4,907.10 = 1,423.40 : x
  2. Step 2: Convert to fraction form
    3,272.60/4,907.10 = 1,423.40/x
  3. Step 3: Cross multiply
    3,272.60x = 4,907.10 × 1,423.40
  4. Step 4: Simplify right side
    3,272.60x = 6,984,766.14
  5. Step 5: Solve for x
    x = 6,984,766.14/3,272.60
  6. Step 6: Final answer
    x = 2,134.32

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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.