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Finding the Fourth Proportional to 2,784.32, 4,175.80 and 1,141.34

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Solution

The fourth proportional to 2,784.32, 4,175.80 and 1,141.34 is: 1,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.32 : 4,175.80 = 1,141.34 : x
  2. Step 2: Convert to fraction form
    2,784.32/4,175.80 = 1,141.34/x
  3. Step 3: Cross multiply
    2,784.32x = 4,175.80 × 1,141.34
  4. Step 4: Simplify right side
    2,784.32x = 4,766,013.75
  5. Step 5: Solve for x
    x = 4,766,013.75/2,784.32
  6. Step 6: Final answer
    x = 1,711.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.