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Finding the Fourth Proportional to 2,863.85, 3,952.62 and 1,684.98

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Solution

The fourth proportional to 2,863.85, 3,952.62 and 1,684.98 is: 2,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.85 : 3,952.62 = 1,684.98 : x
  2. Step 2: Convert to fraction form
    2,863.85/3,952.62 = 1,684.98/x
  3. Step 3: Cross multiply
    2,863.85x = 3,952.62 × 1,684.98
  4. Step 4: Simplify right side
    2,863.85x = 6,660,085.65
  5. Step 5: Solve for x
    x = 6,660,085.65/2,863.85
  6. Step 6: Final answer
    x = 2,325.57

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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.