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Finding the Fourth Proportional to 2,172.84, 3,257.46 and 1,075.74

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Solution

The fourth proportional to 2,172.84, 3,257.46 and 1,075.74 is: 1,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.84 : 3,257.46 = 1,075.74 : x
  2. Step 2: Convert to fraction form
    2,172.84/3,257.46 = 1,075.74/x
  3. Step 3: Cross multiply
    2,172.84x = 3,257.46 × 1,075.74
  4. Step 4: Simplify right side
    2,172.84x = 3,504,180.02
  5. Step 5: Solve for x
    x = 3,504,180.02/2,172.84
  6. Step 6: Final answer
    x = 1,612.72

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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.