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Finding the Fourth Proportional to 3,034.85, 4,188 and 1,690.46

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Solution

The fourth proportional to 3,034.85, 4,188 and 1,690.46 is: 2,332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.85 : 4,188 = 1,690.46 : x
  2. Step 2: Convert to fraction form
    3,034.85/4,188 = 1,690.46/x
  3. Step 3: Cross multiply
    3,034.85x = 4,188 × 1,690.46
  4. Step 4: Simplify right side
    3,034.85x = 7,079,625.54
  5. Step 5: Solve for x
    x = 7,079,625.54/3,034.85
  6. Step 6: Final answer
    x = 2,332.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.