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Finding the Fourth Proportional to 2,855.40, 4,287 and 1,469.68

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Solution

The fourth proportional to 2,855.40, 4,287 and 1,469.68 is: 2,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.40 : 4,287 = 1,469.68 : x
  2. Step 2: Convert to fraction form
    2,855.40/4,287 = 1,469.68/x
  3. Step 3: Cross multiply
    2,855.40x = 4,287 × 1,469.68
  4. Step 4: Simplify right side
    2,855.40x = 6,300,518.16
  5. Step 5: Solve for x
    x = 6,300,518.16/2,855.40
  6. Step 6: Final answer
    x = 2,206.53

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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.