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Finding the Fourth Proportional to 3,100.50, 4,649.04 and 1,616.02

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Solution

The fourth proportional to 3,100.50, 4,649.04 and 1,616.02 is: 2,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.50 : 4,649.04 = 1,616.02 : x
  2. Step 2: Convert to fraction form
    3,100.50/4,649.04 = 1,616.02/x
  3. Step 3: Cross multiply
    3,100.50x = 4,649.04 × 1,616.02
  4. Step 4: Simplify right side
    3,100.50x = 7,512,953.49
  5. Step 5: Solve for x
    x = 7,512,953.49/3,100.50
  6. Step 6: Final answer
    x = 2,423.14

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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.