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Finding the Fourth Proportional to 2,026.18, 3,038.31 and 930.22

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Solution

The fourth proportional to 2,026.18, 3,038.31 and 930.22 is: 1,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.18 : 3,038.31 = 930.22 : x
  2. Step 2: Convert to fraction form
    2,026.18/3,038.31 = 930.22/x
  3. Step 3: Cross multiply
    2,026.18x = 3,038.31 × 930.22
  4. Step 4: Simplify right side
    2,026.18x = 2,826,296.73
  5. Step 5: Solve for x
    x = 2,826,296.73/2,026.18
  6. Step 6: Final answer
    x = 1,394.89

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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.