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Finding the Fourth Proportional to 2,170.17, 3,252.81 and 1,075.32

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Solution

The fourth proportional to 2,170.17, 3,252.81 and 1,075.32 is: 1,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.17 : 3,252.81 = 1,075.32 : x
  2. Step 2: Convert to fraction form
    2,170.17/3,252.81 = 1,075.32/x
  3. Step 3: Cross multiply
    2,170.17x = 3,252.81 × 1,075.32
  4. Step 4: Simplify right side
    2,170.17x = 3,497,811.65
  5. Step 5: Solve for x
    x = 3,497,811.65/2,170.17
  6. Step 6: Final answer
    x = 1,611.77

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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.