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Finding the Fourth Proportional to 3,549.70, 4,898.46 and 1,978

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Solution

The fourth proportional to 3,549.70, 4,898.46 and 1,978 is: 2,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.70 : 4,898.46 = 1,978 : x
  2. Step 2: Convert to fraction form
    3,549.70/4,898.46 = 1,978/x
  3. Step 3: Cross multiply
    3,549.70x = 4,898.46 × 1,978
  4. Step 4: Simplify right side
    3,549.70x = 9,689,153.88
  5. Step 5: Solve for x
    x = 9,689,153.88/3,549.70
  6. Step 6: Final answer
    x = 2,729.57

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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.