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Finding the Fourth Proportional to 2,030.14, 3,042.41 and 931.82

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Solution

The fourth proportional to 2,030.14, 3,042.41 and 931.82 is: 1,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.14 : 3,042.41 = 931.82 : x
  2. Step 2: Convert to fraction form
    2,030.14/3,042.41 = 931.82/x
  3. Step 3: Cross multiply
    2,030.14x = 3,042.41 × 931.82
  4. Step 4: Simplify right side
    2,030.14x = 2,834,978.49
  5. Step 5: Solve for x
    x = 2,834,978.49/2,030.14
  6. Step 6: Final answer
    x = 1,396.44

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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.