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Finding the Fourth Proportional to 2,832.64, 3,909.06 and 1,573.70

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Solution

The fourth proportional to 2,832.64, 3,909.06 and 1,573.70 is: 2,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.64 : 3,909.06 = 1,573.70 : x
  2. Step 2: Convert to fraction form
    2,832.64/3,909.06 = 1,573.70/x
  3. Step 3: Cross multiply
    2,832.64x = 3,909.06 × 1,573.70
  4. Step 4: Simplify right side
    2,832.64x = 6,151,668.18
  5. Step 5: Solve for x
    x = 6,151,668.18/2,832.64
  6. Step 6: Final answer
    x = 2,171.71

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