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Finding the Fourth Proportional to 2,609.61, 3,905.10 and 2,266.98

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Solution

The fourth proportional to 2,609.61, 3,905.10 and 2,266.98 is: 3,392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.61 : 3,905.10 = 2,266.98 : x
  2. Step 2: Convert to fraction form
    2,609.61/3,905.10 = 2,266.98/x
  3. Step 3: Cross multiply
    2,609.61x = 3,905.10 × 2,266.98
  4. Step 4: Simplify right side
    2,609.61x = 8,852,783.60
  5. Step 5: Solve for x
    x = 8,852,783.60/2,609.61
  6. Step 6: Final answer
    x = 3,392.38

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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.