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Finding the Fourth Proportional to 2,735.98, 4,103.99 and 1,762.76

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Solution

The fourth proportional to 2,735.98, 4,103.99 and 1,762.76 is: 2,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.98 : 4,103.99 = 1,762.76 : x
  2. Step 2: Convert to fraction form
    2,735.98/4,103.99 = 1,762.76/x
  3. Step 3: Cross multiply
    2,735.98x = 4,103.99 × 1,762.76
  4. Step 4: Simplify right side
    2,735.98x = 7,234,349.41
  5. Step 5: Solve for x
    x = 7,234,349.41/2,735.98
  6. Step 6: Final answer
    x = 2,644.15

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1.5x scale

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.