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Finding the Fourth Proportional to 3,286, 4,534.68 and 1,814

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Solution

The fourth proportional to 3,286, 4,534.68 and 1,814 is: 2,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286 : 4,534.68 = 1,814 : x
  2. Step 2: Convert to fraction form
    3,286/4,534.68 = 1,814/x
  3. Step 3: Cross multiply
    3,286x = 4,534.68 × 1,814
  4. Step 4: Simplify right side
    3,286x = 8,225,909.52
  5. Step 5: Solve for x
    x = 8,225,909.52/3,286
  6. Step 6: Final answer
    x = 2,503.32

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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.