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Finding the Fourth Proportional to 3,071.82, 4,602.96 and 2,030.70

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Solution

The fourth proportional to 3,071.82, 4,602.96 and 2,030.70 is: 3,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.82 : 4,602.96 = 2,030.70 : x
  2. Step 2: Convert to fraction form
    3,071.82/4,602.96 = 2,030.70/x
  3. Step 3: Cross multiply
    3,071.82x = 4,602.96 × 2,030.70
  4. Step 4: Simplify right side
    3,071.82x = 9,347,230.87
  5. Step 5: Solve for x
    x = 9,347,230.87/3,071.82
  6. Step 6: Final answer
    x = 3,042.90

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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.