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Finding the Fourth Proportional to 1,443.50, 2,165.26 and 347.87

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Solution

The fourth proportional to 1,443.50, 2,165.26 and 347.87 is: 521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.50 : 2,165.26 = 347.87 : x
  2. Step 2: Convert to fraction form
    1,443.50/2,165.26 = 347.87/x
  3. Step 3: Cross multiply
    1,443.50x = 2,165.26 × 347.87
  4. Step 4: Simplify right side
    1,443.50x = 753,217.30
  5. Step 5: Solve for x
    x = 753,217.30/1,443.50
  6. Step 6: Final answer
    x = 521.80

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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.