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Finding the Fourth Proportional to 2,609.40, 3,912.54 and 1,050.12

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Solution

The fourth proportional to 2,609.40, 3,912.54 and 1,050.12 is: 1,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.40 : 3,912.54 = 1,050.12 : x
  2. Step 2: Convert to fraction form
    2,609.40/3,912.54 = 1,050.12/x
  3. Step 3: Cross multiply
    2,609.40x = 3,912.54 × 1,050.12
  4. Step 4: Simplify right side
    2,609.40x = 4,108,636.50
  5. Step 5: Solve for x
    x = 4,108,636.50/2,609.40
  6. Step 6: Final answer
    x = 1,574.55

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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.