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Finding the Fourth Proportional to 2,406.40, 3,609.60 and 1,830.40

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Solution

The fourth proportional to 2,406.40, 3,609.60 and 1,830.40 is: 2,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.40 : 3,609.60 = 1,830.40 : x
  2. Step 2: Convert to fraction form
    2,406.40/3,609.60 = 1,830.40/x
  3. Step 3: Cross multiply
    2,406.40x = 3,609.60 × 1,830.40
  4. Step 4: Simplify right side
    2,406.40x = 6,607,011.84
  5. Step 5: Solve for x
    x = 6,607,011.84/2,406.40
  6. Step 6: Final answer
    x = 2,745.60

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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.