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Finding the Fourth Proportional to 3,103.64, 4,282.90 and 1,687.30

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Solution

The fourth proportional to 3,103.64, 4,282.90 and 1,687.30 is: 2,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.64 : 4,282.90 = 1,687.30 : x
  2. Step 2: Convert to fraction form
    3,103.64/4,282.90 = 1,687.30/x
  3. Step 3: Cross multiply
    3,103.64x = 4,282.90 × 1,687.30
  4. Step 4: Simplify right side
    3,103.64x = 7,226,537.17
  5. Step 5: Solve for x
    x = 7,226,537.17/3,103.64
  6. Step 6: Final answer
    x = 2,328.41

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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.