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Finding the Fourth Proportional to 1,690.78, 2,524.06 and 1,679.14

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Solution

The fourth proportional to 1,690.78, 2,524.06 and 1,679.14 is: 2,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.78 : 2,524.06 = 1,679.14 : x
  2. Step 2: Convert to fraction form
    1,690.78/2,524.06 = 1,679.14/x
  3. Step 3: Cross multiply
    1,690.78x = 2,524.06 × 1,679.14
  4. Step 4: Simplify right side
    1,690.78x = 4,238,250.11
  5. Step 5: Solve for x
    x = 4,238,250.11/1,690.78
  6. Step 6: Final answer
    x = 2,506.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.