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Finding the Fourth Proportional to 4,768.88, 7,151.84 and 1,690.64

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Solution

The fourth proportional to 4,768.88, 7,151.84 and 1,690.64 is: 2,535.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.88 : 7,151.84 = 1,690.64 : x
  2. Step 2: Convert to fraction form
    4,768.88/7,151.84 = 1,690.64/x
  3. Step 3: Cross multiply
    4,768.88x = 7,151.84 × 1,690.64
  4. Step 4: Simplify right side
    4,768.88x = 12,091,186.78
  5. Step 5: Solve for x
    x = 12,091,186.78/4,768.88
  6. Step 6: Final answer
    x = 2,535.44

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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.