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Finding the Fourth Proportional to 2,830.32, 3,905.46 and 1,651.32

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Solution

The fourth proportional to 2,830.32, 3,905.46 and 1,651.32 is: 2,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.32 : 3,905.46 = 1,651.32 : x
  2. Step 2: Convert to fraction form
    2,830.32/3,905.46 = 1,651.32/x
  3. Step 3: Cross multiply
    2,830.32x = 3,905.46 × 1,651.32
  4. Step 4: Simplify right side
    2,830.32x = 6,449,164.21
  5. Step 5: Solve for x
    x = 6,449,164.21/2,830.32
  6. Step 6: Final answer
    x = 2,278.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.