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Finding the Fourth Proportional to 2,783.42, 4,175.12 and 2,232.89

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Solution

The fourth proportional to 2,783.42, 4,175.12 and 2,232.89 is: 3,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.42 : 4,175.12 = 2,232.89 : x
  2. Step 2: Convert to fraction form
    2,783.42/4,175.12 = 2,232.89/x
  3. Step 3: Cross multiply
    2,783.42x = 4,175.12 × 2,232.89
  4. Step 4: Simplify right side
    2,783.42x = 9,322,551.66
  5. Step 5: Solve for x
    x = 9,322,551.66/2,783.42
  6. Step 6: Final answer
    x = 3,349.32

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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.