Home / 3,400.16-5,094.46-1,646

Finding the Fourth Proportional to 3,400.16, 5,094.46 and 1,646

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Solution

The fourth proportional to 3,400.16, 5,094.46 and 1,646 is: 2,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.16 : 5,094.46 = 1,646 : x
  2. Step 2: Convert to fraction form
    3,400.16/5,094.46 = 1,646/x
  3. Step 3: Cross multiply
    3,400.16x = 5,094.46 × 1,646
  4. Step 4: Simplify right side
    3,400.16x = 8,385,481.16
  5. Step 5: Solve for x
    x = 8,385,481.16/3,400.16
  6. Step 6: Final answer
    x = 2,466.20

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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.