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Finding the Fourth Proportional to 3,071.58, 4,238.64 and 1,892.76

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Solution

The fourth proportional to 3,071.58, 4,238.64 and 1,892.76 is: 2,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.58 : 4,238.64 = 1,892.76 : x
  2. Step 2: Convert to fraction form
    3,071.58/4,238.64 = 1,892.76/x
  3. Step 3: Cross multiply
    3,071.58x = 4,238.64 × 1,892.76
  4. Step 4: Simplify right side
    3,071.58x = 8,022,728.25
  5. Step 5: Solve for x
    x = 8,022,728.25/3,071.58
  6. Step 6: Final answer
    x = 2,611.92

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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.