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Finding the Fourth Proportional to 3,071.44, 4,602.52 and 2,287.77

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Solution

The fourth proportional to 3,071.44, 4,602.52 and 2,287.77 is: 3,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.44 : 4,602.52 = 2,287.77 : x
  2. Step 2: Convert to fraction form
    3,071.44/4,602.52 = 2,287.77/x
  3. Step 3: Cross multiply
    3,071.44x = 4,602.52 × 2,287.77
  4. Step 4: Simplify right side
    3,071.44x = 10,529,505.73
  5. Step 5: Solve for x
    x = 10,529,505.73/3,071.44
  6. Step 6: Final answer
    x = 3,428.19

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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.