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Finding the Fourth Proportional to 2,193.81, 3,290.73 and 1,038.75

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Solution

The fourth proportional to 2,193.81, 3,290.73 and 1,038.75 is: 1,558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.81 : 3,290.73 = 1,038.75 : x
  2. Step 2: Convert to fraction form
    2,193.81/3,290.73 = 1,038.75/x
  3. Step 3: Cross multiply
    2,193.81x = 3,290.73 × 1,038.75
  4. Step 4: Simplify right side
    2,193.81x = 3,418,245.79
  5. Step 5: Solve for x
    x = 3,418,245.79/2,193.81
  6. Step 6: Final answer
    x = 1,558.13

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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.