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Finding the Fourth Proportional to 1,704.17, 2,361.80 and 1,678.25

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Solution

The fourth proportional to 1,704.17, 2,361.80 and 1,678.25 is: 2,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.17 : 2,361.80 = 1,678.25 : x
  2. Step 2: Convert to fraction form
    1,704.17/2,361.80 = 1,678.25/x
  3. Step 3: Cross multiply
    1,704.17x = 2,361.80 × 1,678.25
  4. Step 4: Simplify right side
    1,704.17x = 3,963,670.65
  5. Step 5: Solve for x
    x = 3,963,670.65/1,704.17
  6. Step 6: Final answer
    x = 2,325.87

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.