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Finding the Fourth Proportional to 2,271.84, 3,135.06 and 1,609.80

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Solution

The fourth proportional to 2,271.84, 3,135.06 and 1,609.80 is: 2,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.84 : 3,135.06 = 1,609.80 : x
  2. Step 2: Convert to fraction form
    2,271.84/3,135.06 = 1,609.80/x
  3. Step 3: Cross multiply
    2,271.84x = 3,135.06 × 1,609.80
  4. Step 4: Simplify right side
    2,271.84x = 5,046,819.59
  5. Step 5: Solve for x
    x = 5,046,819.59/2,271.84
  6. Step 6: Final answer
    x = 2,221.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.