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Finding the Fourth Proportional to 3,100.16, 4,278.12 and 1,702.82

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Solution

The fourth proportional to 3,100.16, 4,278.12 and 1,702.82 is: 2,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.16 : 4,278.12 = 1,702.82 : x
  2. Step 2: Convert to fraction form
    3,100.16/4,278.12 = 1,702.82/x
  3. Step 3: Cross multiply
    3,100.16x = 4,278.12 × 1,702.82
  4. Step 4: Simplify right side
    3,100.16x = 7,284,868.30
  5. Step 5: Solve for x
    x = 7,284,868.30/3,100.16
  6. Step 6: Final answer
    x = 2,349.84

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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.