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Finding the Fourth Proportional to 2,084.32, 3,127.20 and 786.16

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Solution

The fourth proportional to 2,084.32, 3,127.20 and 786.16 is: 1,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.32 : 3,127.20 = 786.16 : x
  2. Step 2: Convert to fraction form
    2,084.32/3,127.20 = 786.16/x
  3. Step 3: Cross multiply
    2,084.32x = 3,127.20 × 786.16
  4. Step 4: Simplify right side
    2,084.32x = 2,458,479.55
  5. Step 5: Solve for x
    x = 2,458,479.55/2,084.32
  6. Step 6: Final answer
    x = 1,179.51

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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.