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Finding the Fourth Proportional to 2,193.10, 3,290.56 and 959.87

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Solution

The fourth proportional to 2,193.10, 3,290.56 and 959.87 is: 1,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.10 : 3,290.56 = 959.87 : x
  2. Step 2: Convert to fraction form
    2,193.10/3,290.56 = 959.87/x
  3. Step 3: Cross multiply
    2,193.10x = 3,290.56 × 959.87
  4. Step 4: Simplify right side
    2,193.10x = 3,158,515.65
  5. Step 5: Solve for x
    x = 3,158,515.65/2,193.10
  6. Step 6: Final answer
    x = 1,440.21

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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.