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Finding the Fourth Proportional to 2,609.92, 3,907.87 and 2,041.41

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Solution

The fourth proportional to 2,609.92, 3,907.87 and 2,041.41 is: 3,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.92 : 3,907.87 = 2,041.41 : x
  2. Step 2: Convert to fraction form
    2,609.92/3,907.87 = 2,041.41/x
  3. Step 3: Cross multiply
    2,609.92x = 3,907.87 × 2,041.41
  4. Step 4: Simplify right side
    2,609.92x = 7,977,559.79
  5. Step 5: Solve for x
    x = 7,977,559.79/2,609.92
  6. Step 6: Final answer
    x = 3,056.64

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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.