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Finding the Fourth Proportional to 2,532, 3,798.78 and 2,270.35

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Solution

The fourth proportional to 2,532, 3,798.78 and 2,270.35 is: 3,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532 : 3,798.78 = 2,270.35 : x
  2. Step 2: Convert to fraction form
    2,532/3,798.78 = 2,270.35/x
  3. Step 3: Cross multiply
    2,532x = 3,798.78 × 2,270.35
  4. Step 4: Simplify right side
    2,532x = 8,624,560.17
  5. Step 5: Solve for x
    x = 8,624,560.17/2,532
  6. Step 6: Final answer
    x = 3,406.22

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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.