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Finding the Fourth Proportional to 3,381.84, 4,668.96 and 2,634

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Solution

The fourth proportional to 3,381.84, 4,668.96 and 2,634 is: 3,636.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.84 : 4,668.96 = 2,634 : x
  2. Step 2: Convert to fraction form
    3,381.84/4,668.96 = 2,634/x
  3. Step 3: Cross multiply
    3,381.84x = 4,668.96 × 2,634
  4. Step 4: Simplify right side
    3,381.84x = 12,298,040.64
  5. Step 5: Solve for x
    x = 12,298,040.64/3,381.84
  6. Step 6: Final answer
    x = 3,636.49

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Why These Related Problems?

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