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Finding the Fourth Proportional to 3,000.40, 4,500.60 and 2,125.60

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Solution

The fourth proportional to 3,000.40, 4,500.60 and 2,125.60 is: 3,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.40 : 4,500.60 = 2,125.60 : x
  2. Step 2: Convert to fraction form
    3,000.40/4,500.60 = 2,125.60/x
  3. Step 3: Cross multiply
    3,000.40x = 4,500.60 × 2,125.60
  4. Step 4: Simplify right side
    3,000.40x = 9,566,475.36
  5. Step 5: Solve for x
    x = 9,566,475.36/3,000.40
  6. Step 6: Final answer
    x = 3,188.40

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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.