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Finding the Fourth Proportional to 2,646.85, 3,651.16 and 1,702.75

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Solution

The fourth proportional to 2,646.85, 3,651.16 and 1,702.75 is: 2,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.85 : 3,651.16 = 1,702.75 : x
  2. Step 2: Convert to fraction form
    2,646.85/3,651.16 = 1,702.75/x
  3. Step 3: Cross multiply
    2,646.85x = 3,651.16 × 1,702.75
  4. Step 4: Simplify right side
    2,646.85x = 6,217,017.56
  5. Step 5: Solve for x
    x = 6,217,017.56/2,646.85
  6. Step 6: Final answer
    x = 2,348.84

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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.