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Finding the Fourth Proportional to 1,704.24, 2,368.17 and 1,686.42

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Solution

The fourth proportional to 1,704.24, 2,368.17 and 1,686.42 is: 2,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.24 : 2,368.17 = 1,686.42 : x
  2. Step 2: Convert to fraction form
    1,704.24/2,368.17 = 1,686.42/x
  3. Step 3: Cross multiply
    1,704.24x = 2,368.17 × 1,686.42
  4. Step 4: Simplify right side
    1,704.24x = 3,993,729.25
  5. Step 5: Solve for x
    x = 3,993,729.25/1,704.24
  6. Step 6: Final answer
    x = 2,343.41

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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.