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Finding the Fourth Proportional to 3,157.50, 4,731.98 and 1,208.64

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Solution

The fourth proportional to 3,157.50, 4,731.98 and 1,208.64 is: 1,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.50 : 4,731.98 = 1,208.64 : x
  2. Step 2: Convert to fraction form
    3,157.50/4,731.98 = 1,208.64/x
  3. Step 3: Cross multiply
    3,157.50x = 4,731.98 × 1,208.64
  4. Step 4: Simplify right side
    3,157.50x = 5,719,254.26
  5. Step 5: Solve for x
    x = 5,719,254.26/3,157.50
  6. Step 6: Final answer
    x = 1,811.32

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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.