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Finding the Fourth Proportional to 2,406.40, 3,609.60 and 1,487.80

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Solution

The fourth proportional to 2,406.40, 3,609.60 and 1,487.80 is: 2,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.40 : 3,609.60 = 1,487.80 : x
  2. Step 2: Convert to fraction form
    2,406.40/3,609.60 = 1,487.80/x
  3. Step 3: Cross multiply
    2,406.40x = 3,609.60 × 1,487.80
  4. Step 4: Simplify right side
    2,406.40x = 5,370,362.88
  5. Step 5: Solve for x
    x = 5,370,362.88/2,406.40
  6. Step 6: Final answer
    x = 2,231.70

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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.