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Finding the Fourth Proportional to 4,405.50, 6,603.60 and 1,630.40

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Solution

The fourth proportional to 4,405.50, 6,603.60 and 1,630.40 is: 2,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405.50 : 6,603.60 = 1,630.40 : x
  2. Step 2: Convert to fraction form
    4,405.50/6,603.60 = 1,630.40/x
  3. Step 3: Cross multiply
    4,405.50x = 6,603.60 × 1,630.40
  4. Step 4: Simplify right side
    4,405.50x = 10,766,509.44
  5. Step 5: Solve for x
    x = 10,766,509.44/4,405.50
  6. Step 6: Final answer
    x = 2,443.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.