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Finding the Fourth Proportional to 1,899, 2,846.16 and 1,348.20

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Solution

The fourth proportional to 1,899, 2,846.16 and 1,348.20 is: 2,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899 : 2,846.16 = 1,348.20 : x
  2. Step 2: Convert to fraction form
    1,899/2,846.16 = 1,348.20/x
  3. Step 3: Cross multiply
    1,899x = 2,846.16 × 1,348.20
  4. Step 4: Simplify right side
    1,899x = 3,837,192.91
  5. Step 5: Solve for x
    x = 3,837,192.91/1,899
  6. Step 6: Final answer
    x = 2,020.64

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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.