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Finding the Fourth Proportional to 2,702.13, 3,728.42 and 1,758.09

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Solution

The fourth proportional to 2,702.13, 3,728.42 and 1,758.09 is: 2,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.13 : 3,728.42 = 1,758.09 : x
  2. Step 2: Convert to fraction form
    2,702.13/3,728.42 = 1,758.09/x
  3. Step 3: Cross multiply
    2,702.13x = 3,728.42 × 1,758.09
  4. Step 4: Simplify right side
    2,702.13x = 6,554,889.13
  5. Step 5: Solve for x
    x = 6,554,889.13/2,702.13
  6. Step 6: Final answer
    x = 2,425.82

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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.