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Finding the Fourth Proportional to 3,156.13, 4,734.19 and 1,208.33

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Solution

The fourth proportional to 3,156.13, 4,734.19 and 1,208.33 is: 1,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.13 : 4,734.19 = 1,208.33 : x
  2. Step 2: Convert to fraction form
    3,156.13/4,734.19 = 1,208.33/x
  3. Step 3: Cross multiply
    3,156.13x = 4,734.19 × 1,208.33
  4. Step 4: Simplify right side
    3,156.13x = 5,720,463.80
  5. Step 5: Solve for x
    x = 5,720,463.80/3,156.13
  6. Step 6: Final answer
    x = 1,812.50

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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.