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Finding the Fourth Proportional to 3,157.16, 4,732.50 and 1,208.84

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Solution

The fourth proportional to 3,157.16, 4,732.50 and 1,208.84 is: 1,812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.16 : 4,732.50 = 1,208.84 : x
  2. Step 2: Convert to fraction form
    3,157.16/4,732.50 = 1,208.84/x
  3. Step 3: Cross multiply
    3,157.16x = 4,732.50 × 1,208.84
  4. Step 4: Simplify right side
    3,157.16x = 5,720,835.30
  5. Step 5: Solve for x
    x = 5,720,835.30/3,157.16
  6. Step 6: Final answer
    x = 1,812.02

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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.