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Finding the Fourth Proportional to 2,134.96, 3,203.16 and 1,355.56

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Solution

The fourth proportional to 2,134.96, 3,203.16 and 1,355.56 is: 2,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.96 : 3,203.16 = 1,355.56 : x
  2. Step 2: Convert to fraction form
    2,134.96/3,203.16 = 1,355.56/x
  3. Step 3: Cross multiply
    2,134.96x = 3,203.16 × 1,355.56
  4. Step 4: Simplify right side
    2,134.96x = 4,342,075.57
  5. Step 5: Solve for x
    x = 4,342,075.57/2,134.96
  6. Step 6: Final answer
    x = 2,033.80

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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.