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Finding the Fourth Proportional to 3,278, 4,523.64 and 1,806

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Solution

The fourth proportional to 3,278, 4,523.64 and 1,806 is: 2,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278 : 4,523.64 = 1,806 : x
  2. Step 2: Convert to fraction form
    3,278/4,523.64 = 1,806/x
  3. Step 3: Cross multiply
    3,278x = 4,523.64 × 1,806
  4. Step 4: Simplify right side
    3,278x = 8,169,693.84
  5. Step 5: Solve for x
    x = 8,169,693.84/3,278
  6. Step 6: Final answer
    x = 2,492.28

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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.